Publication Information

{'id': 'https://openalex.org/W3101372954', 'doi': 'https://doi.org/10.1215/00127094-2017-0017', 'title': 'A tropical approach to a generalized Hodge conjecture for positive currents', 'display_name': 'A tropical approach to a generalized Hodge conjecture for positive currents', 'publication_year': 2017, 'publication_date': '2017-09-06', 'ids': {'openalex': 'https://openalex.org/W3101372954', 'doi': 'https://doi.org/10.1215/00127094-2017-0017', 'mag': '3101372954'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1215/00127094-2017-0017', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S171170845', 'display_name': 'Duke Mathematical Journal', 'issn_l': '0012-7094', 'issn': ['0012-7094', '1547-7398'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315698', 'host_organization_name': 'Duke University Press', 'host_organization_lineage': ['https://openalex.org/P4310315572', 'https://openalex.org/P4310315698'], 'host_organization_lineage_names': ['Duke University', 'Duke University Press'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/pdf/1502.00299', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5060654328', 'display_name': 'Farhad Babaee', 'orcid': 'https://orcid.org/0000-0002-9440-8829'}, 'institutions': [{'id': 'https://openalex.org/I4210103330', 'display_name': 'École Normale Supérieure', 'ror': 'https://ror.org/01dp7jr64', 'country_code': 'BI', 'type': 'education', 'lineage': ['https://openalex.org/I4210103330']}, {'id': 'https://openalex.org/I154338468', 'display_name': 'University of Fribourg', 'ror': 'https://ror.org/022fs9h90', 'country_code': 'CH', 'type': 'education', 'lineage': ['https://openalex.org/I154338468']}, {'id': 'https://openalex.org/I40036882', 'display_name': 'Institute for Advanced Study', 'ror': 'https://ror.org/00f809463', 'country_code': 'US', 'type': 'facility', 'lineage': ['https://openalex.org/I40036882']}], 'countries': ['BI', 'CH', 'US'], 'is_corresponding': False, 'raw_author_name': 'Farhad Babaee', 'raw_affiliation_strings': ['Concordia University, Ecole Normale Supérieure of Paris, and Université de Fribourg.', 'PRINCETON UNIVERSITY AND INSTITUTE FOR ADVANCED STUDY, EINSTEIN DRIVE, PRINCETON, NJ 08540, USA'], 'affiliations': [{'raw_affiliation_string': 'Concordia University, Ecole Normale Supérieure of Paris, and Université de Fribourg.', 'institution_ids': ['https://openalex.org/I4210103330', 'https://openalex.org/I154338468']}, {'raw_affiliation_string': 'PRINCETON UNIVERSITY AND INSTITUTE FOR ADVANCED STUDY, EINSTEIN DRIVE, PRINCETON, NJ 08540, USA', 'institution_ids': ['https://openalex.org/I40036882']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5077920540', 'display_name': 'June Huh', 'orcid': 'https://orcid.org/0009-0003-9731-6190'}, 'institutions': [{'id': 'https://openalex.org/I4210103330', 'display_name': 'École Normale Supérieure', 'ror': 'https://ror.org/01dp7jr64', 'country_code': 'BI', 'type': 'education', 'lineage': ['https://openalex.org/I4210103330']}, {'id': 'https://openalex.org/I154338468', 'display_name': 'University of Fribourg', 'ror': 'https://ror.org/022fs9h90', 'country_code': 'CH', 'type': 'education', 'lineage': ['https://openalex.org/I154338468']}, {'id': 'https://openalex.org/I40036882', 'display_name': 'Institute for Advanced Study', 'ror': 'https://ror.org/00f809463', 'country_code': 'US', 'type': 'facility', 'lineage': ['https://openalex.org/I40036882']}], 'countries': ['BI', 'CH', 'US'], 'is_corresponding': False, 'raw_author_name': 'June Huh', 'raw_affiliation_strings': ['Concordia University, Ecole Normale Supérieure of Paris, and Université de Fribourg.', 'PRINCETON UNIVERSITY AND INSTITUTE FOR ADVANCED STUDY, EINSTEIN DRIVE, PRINCETON, NJ 08540, USA'], 'affiliations': [{'raw_affiliation_string': 'Concordia University, Ecole Normale Supérieure of Paris, and Université de Fribourg.', 'institution_ids': ['https://openalex.org/I4210103330', 'https://openalex.org/I154338468']}, {'raw_affiliation_string': 'PRINCETON UNIVERSITY AND INSTITUTE FOR ADVANCED STUDY, EINSTEIN DRIVE, PRINCETON, NJ 08540, USA', 'institution_ids': ['https://openalex.org/I40036882']}]}], 'institution_assertions': [], 'countries_distinct_count': 3, 'institutions_distinct_count': 3, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 3.333, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 25, 'citation_normalized_percentile': {'value': 0.999801, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 92, 'max': 93}, 'biblio': {'volume': '166', 'issue': '14', 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.999, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.999, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T12396', 'display_name': 'Advanced Differential Equations and Dynamical Systems', 'score': 0.9948, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11435', 'display_name': 'Polynomial and algebraic computation', 'score': 0.9919, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/hodge-conjecture', 'display_name': 'Hodge conjecture', 'score': 0.8584639}, {'id': 'https://openalex.org/keywords/counterexample', 'display_name': 'Counterexample', 'score': 0.6408288}, {'id': 'https://openalex.org/keywords/statement', 'display_name': 'Statement (logic)', 'score': 0.53342617}, {'id': 'https://openalex.org/keywords/intersection-homology', 'display_name': 'Intersection homology', 'score': 0.474133}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8772553}, {'id': 'https://openalex.org/C54678060', 'wikidata': 'https://www.wikidata.org/wiki/Q1143138', 'display_name': 'Hodge conjecture', 'level': 4, 'score': 0.8584639}, {'id': 'https://openalex.org/C2780990831', 'wikidata': 'https://www.wikidata.org/wiki/Q319141', 'display_name': 'Conjecture', 'level': 2, 'score': 0.68774694}, {'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.65489775}, {'id': 'https://openalex.org/C162838799', 'wikidata': 'https://www.wikidata.org/wiki/Q596077', 'display_name': 'Counterexample', 'level': 2, 'score': 0.6408288}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5939792}, {'id': 'https://openalex.org/C2777026412', 'wikidata': 'https://www.wikidata.org/wiki/Q2684591', 'display_name': 'Statement (logic)', 'level': 2, 'score': 0.53342617}, {'id': 'https://openalex.org/C136197465', 'wikidata': 'https://www.wikidata.org/wiki/Q1729295', 'display_name': 'Variety (cybernetics)', 'level': 2, 'score': 0.52548105}, {'id': 'https://openalex.org/C148043351', 'wikidata': 'https://www.wikidata.org/wiki/Q4456944', 'display_name': 'Current (fluid)', 'level': 2, 'score': 0.48460302}, {'id': 'https://openalex.org/C63549537', 'wikidata': 'https://www.wikidata.org/wiki/Q6056721', 'display_name': 'Intersection homology', 'level': 3, 'score': 0.474133}, {'id': 'https://openalex.org/C64543145', 'wikidata': 'https://www.wikidata.org/wiki/Q162942', 'display_name': 'Intersection (aeronautics)', 'level': 2, 'score': 0.45542163}, {'id': 'https://openalex.org/C2777212361', 'wikidata': 'https://www.wikidata.org/wiki/Q5127848', 'display_name': 'Class (philosophy)', 'level': 2, 'score': 0.43398404}, {'id': 'https://openalex.org/C155069649', 'wikidata': 'https://www.wikidata.org/wiki/Q1317202', 'display_name': 'Hodge theory', 'level': 3, 'score': 0.42575794}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.22090816}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C119599485', 'wikidata': 'https://www.wikidata.org/wiki/Q43035', 'display_name': 'Electrical engineering', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C146978453', 'wikidata': 'https://www.wikidata.org/wiki/Q3798668', 'display_name': 'Aerospace engineering', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C17744445', 'wikidata': 'https://www.wikidata.org/wiki/Q36442', 'display_name': 'Political science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199539241', 'wikidata': 'https://www.wikidata.org/wiki/Q7748', 'display_name': 'Law', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C127413603', 'wikidata': 'https://www.wikidata.org/wiki/Q11023', 'display_name': 'Engineering', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 6, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1215/00127094-2017-0017', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S171170845', 'display_name': 'Duke Mathematical Journal', 'issn_l': '0012-7094', 'issn': ['0012-7094', '1547-7398'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315698', 'host_organization_name': 'Duke University Press', 'host_organization_lineage': ['https://openalex.org/P4310315572', 'https://openalex.org/P4310315698'], 'host_organization_lineage_names': ['Duke University', 'Duke University Press'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1502.00299', 'pdf_url': 'https://arxiv.org/pdf/1502.00299', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://doc.rero.ch/record/306268/files/bar_tag.pdf', 'pdf_url': 'http://doc.rero.ch/record/306268/files/bar_tag.pdf', 'source': {'id': 'https://openalex.org/S4306400148', 'display_name': 'reroDoc Digital Library', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I67311998', 'host_organization_name': 'European Organization for Nuclear Research', 'host_organization_lineage': ['https://openalex.org/I67311998'], 'host_organization_lineage_names': ['European Organization for Nuclear Research'], 'type': 'repository'}, 'license': 'cc-by', 'license_id': 'https://openalex.org/licenses/cc-by', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://hdl.handle.net/1983/c464507b-69f0-4fa0-b3a4-4cd964c27919', 'pdf_url': 'https://research-information.bris.ac.uk/files/185931047/1502.00299.pdf', 'source': {'id': 'https://openalex.org/S4306400895', 'display_name': 'Bristol Research (University of Bristol)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I36234482', 'host_organization_name': 'University of Bristol', 'host_organization_lineage': ['https://openalex.org/I36234482'], 'host_organization_lineage_names': ['University of Bristol'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://research-information.bris.ac.uk/ws/files/185931047/1502.00299.pdf', 'pdf_url': 'https://research-information.bris.ac.uk/ws/files/185931047/1502.00299.pdf', 'source': {'id': 'https://openalex.org/S4306400895', 'display_name': 'Bristol Research (University of Bristol)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I36234482', 'host_organization_name': 'University of Bristol', 'host_organization_lineage': ['https://openalex.org/I36234482'], 'host_organization_lineage_names': ['University of Bristol'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1502.00299', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1502.00299', 'pdf_url': 'https://arxiv.org/pdf/1502.00299', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W2609227828', 'https://openalex.org/W3101372954'], 'referenced_works_count': 35, 'referenced_works': ['https://openalex.org/W1515192744', 'https://openalex.org/W1578099820', 'https://openalex.org/W1964594185', 'https://openalex.org/W1969786879', 'https://openalex.org/W1989367176', 'https://openalex.org/W1998353376', 'https://openalex.org/W1998888083', 'https://openalex.org/W2010786313', 'https://openalex.org/W2014373588', 'https://openalex.org/W2014951786', 'https://openalex.org/W2022780488', 'https://openalex.org/W2024348588', 'https://openalex.org/W2063201429', 'https://openalex.org/W2064151722', 'https://openalex.org/W2064630636', 'https://openalex.org/W206674058', 'https://openalex.org/W2070259181', 'https://openalex.org/W2091410157', 'https://openalex.org/W2093675985', 'https://openalex.org/W2148651482', 'https://openalex.org/W2161163577', 'https://openalex.org/W2164308596', 'https://openalex.org/W2282047080', 'https://openalex.org/W2489016459', 'https://openalex.org/W2736570495', 'https://openalex.org/W2883182529', 'https://openalex.org/W2921140214', 'https://openalex.org/W2951078269', 'https://openalex.org/W2952862663', 'https://openalex.org/W2963993795', 'https://openalex.org/W328164087', 'https://openalex.org/W4205502224', 'https://openalex.org/W4230962939', 'https://openalex.org/W4300574146', 'https://openalex.org/W437148133'], 'related_works': ['https://openalex.org/W4296899415', 'https://openalex.org/W4287904302', 'https://openalex.org/W4254888065', 'https://openalex.org/W4244564317', 'https://openalex.org/W4234200652', 'https://openalex.org/W402222452', 'https://openalex.org/W3044023950', 'https://openalex.org/W2229235972', 'https://openalex.org/W2034778198', 'https://openalex.org/W1493340484'], 'abstract_inverted_index': {'In': [0, 63], '1982,': [1], 'Demailly': [2], 'showed': [3, 35], 'that': [4, 12, 36, 45, 120], 'the': [5, 10, 37, 43, 74, 84, 97, 104, 121, 129, 152, 158], 'Hodge': [6, 38, 85, 159], 'conjecture': [7, 39, 86], 'follows': [8], 'from': [9, 140], 'statement': [11, 44, 76], 'all': [13], 'positive': [14, 25], 'closed': [15, 48], 'currents': [16, 117], 'with': [17, 50], 'rational': [18, 51], 'cohomology': [19, 52, 122], 'class': [20, 53, 123], 'can': [21, 54], 'be': [22, 55], 'approximated': [23, 56], 'by': [24, 57, 103], 'linear': [26, 58], 'combinations': [27, 59], 'of': [28, 60, 99, 115, 124, 131, 157], 'integration': [29, 61], 'currents.': [30, 62], 'Moreover,': [31], 'in': [32, 144, 155], '2012,': [33], 'he': [34], 'is': [40, 87, 128, 138], 'equivalent': [41], 'to': [42, 89, 108], 'any': [46], '(p,p)-dimensional': [47], 'current': [49, 69, 127], 'this': [64, 93], 'article,': [65], 'we': [66, 95], 'find': [67], 'a': [68, 78, 125, 141], 'which': [70, 83], 'does': [71, 149], 'not': [72, 150], 'verify': [73], 'former': [75], 'on': [77], 'smooth': [79], 'projective': [80], 'variety': [81], 'for': [82], 'known': [88], 'hold.': [90], 'To': [91], 'construct': [92], 'current,': [94], 'extend': [96], 'framework': [98], '"tropical': [100], 'currents"—recently': [101], 'introduced': [102], 'first': [105], 'author—from': [106], 'tori': [107], 'toric': [109], 'varieties.': [110], 'We': [111], 'discuss': [112], 'extremality': [113], 'properties': [114], 'tropical': [116, 126, 134, 142], 'and': [118], 'show': [119], 'recession': [130], 'its': [132], 'underlying': [133], 'variety.': [135], 'The': [136], 'counterexample': [137], 'obtained': [139], 'surface': [143], 'R4': [145], 'whose': [146], 'intersection': [147], 'form': [148], 'have': [151], 'right': [153], 'signature': [154], 'terms': [156], 'index': [160], 'theorem.': [161]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3101372954', 'counts_by_year': [{'year': 2024, 'cited_by_count': 4}, {'year': 2023, 'cited_by_count': 3}, {'year': 2022, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 2}, {'year': 2020, 'cited_by_count': 2}, {'year': 2019, 'cited_by_count': 6}, {'year': 2018, 'cited_by_count': 3}, {'year': 2017, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 1}, {'year': 2014, 'cited_by_count': 1}], 'updated_date': '2024-12-09T08:55:28.641915', 'created_date': '2020-11-23'}