Publication Information

{'id': 'https://openalex.org/W2902381520', 'doi': 'https://doi.org/10.48550/arxiv.1812.00248', 'title': 'Pseudotropical curves', 'display_name': 'Pseudotropical curves', 'publication_year': 2018, 'publication_date': '2018-01-01', 'ids': {'openalex': 'https://openalex.org/W2902381520', 'doi': 'https://doi.org/10.48550/arxiv.1812.00248', 'mag': '2902381520'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1812.00248', 'pdf_url': None, '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': ['datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/1812.00248', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5011343560', 'display_name': 'Sergei Lanzat', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Sergei Lanzat', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5022914256', 'display_name': 'Michael Polyak', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Michael Polyak', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 62}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11435', 'display_name': 'Polynomial and algebraic computation', 'score': 0.9928, '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'}}, 'topics': [{'id': 'https://openalex.org/T11435', 'display_name': 'Polynomial and algebraic computation', 'score': 0.9928, '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'}}, {'id': 'https://openalex.org/T10248', 'display_name': 'Nonlinear Waves and Solitons', 'score': 0.9903, 'subfield': {'id': 'https://openalex.org/subfields/3109', 'display_name': 'Statistical and Nonlinear Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.97, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/intersection-theory', 'display_name': 'Intersection Theory', 'score': 0.56568515}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.77627414}, {'id': 'https://openalex.org/C73373263', 'wikidata': 'https://www.wikidata.org/wiki/Q845677', 'display_name': 'Moduli space', 'level': 2, 'score': 0.69306695}, {'id': 'https://openalex.org/C77462122', 'wikidata': 'https://www.wikidata.org/wiki/Q15176852', 'display_name': 'Intersection theory', 'level': 5, 'score': 0.56568515}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5395616}, {'id': 'https://openalex.org/C9767117', 'wikidata': 'https://www.wikidata.org/wiki/Q12510', 'display_name': 'Torus', 'level': 2, 'score': 0.44481134}, {'id': 'https://openalex.org/C177148314', 'wikidata': 'https://www.wikidata.org/wiki/Q170084', 'display_name': 'Generalization', 'level': 2, 'score': 0.42579782}, {'id': 'https://openalex.org/C129844170', 'wikidata': 'https://www.wikidata.org/wiki/Q41299', 'display_name': 'Quadratic equation', 'level': 2, 'score': 0.4242282}, {'id': 'https://openalex.org/C201717286', 'wikidata': 'https://www.wikidata.org/wiki/Q938185', 'display_name': 'Rationality', 'level': 2, 'score': 0.42178765}, {'id': 'https://openalex.org/C2777021972', 'wikidata': 'https://www.wikidata.org/wiki/Q22976830', 'display_name': 'Uniqueness', 'level': 2, 'score': 0.42042482}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.26832575}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.13533413}, {'id': 'https://openalex.org/C186219872', 'wikidata': 'https://www.wikidata.org/wiki/Q955889', 'display_name': 'Differential algebraic equation', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C51544822', 'wikidata': 'https://www.wikidata.org/wiki/Q465274', 'display_name': 'Ordinary differential equation', 'level': 3, '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/C199539241', 'wikidata': 'https://www.wikidata.org/wiki/Q7748', 'display_name': 'Law', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C78045399', 'wikidata': 'https://www.wikidata.org/wiki/Q11214', 'display_name': 'Differential equation', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1812.00248', 'pdf_url': None, '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1812.00248', '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/1812.00248', 'pdf_url': None, '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W4298297290', 'https://openalex.org/W4287215228', 'https://openalex.org/W3129690404', 'https://openalex.org/W3104402734', 'https://openalex.org/W2964136500', 'https://openalex.org/W2243457584', 'https://openalex.org/W2160878972', 'https://openalex.org/W2136133050', 'https://openalex.org/W2109811679', 'https://openalex.org/W174674934'], 'abstract_inverted_index': {'We': [0, 54, 90], 'propose': [1], 'a': [2, 28, 59, 77, 92, 123], 'generalization': [3], 'of': [4, 21, 27, 43, 58, 63, 71, 80, 94, 116, 130], 'tropical': [5, 108], 'curves': [6, 23, 74], 'by': [7], 'dropping': [8], 'the': [9, 16, 36, 47, 56, 88, 106, 112], 'rationality': [10], 'and': [11, 38, 46, 102, 118], 'integrality': [12], 'requirements': [13], 'while': [14], 'preserving': [15], 'balancing': [17], 'condition.': [18], 'An': [19], 'interpretation': [20], 'such': [22, 95], 'as': [24, 52], 'critical': [25], 'points': [26, 81], 'certain': [29], 'quadratic': [30], 'functional': [31], 'allows': [32], 'us': [33], 'to': [34], 'settle': [35], 'existence': [37], 'uniqueness': [39], 'problem.': [40], 'The': [41], 'machinery': [42], 'dual': [44], 'polygons': [45], 'intersection': [48], 'theory': [49], 'also': [50], 'generalize': [51], 'expected.': [53], 'study': [55], 'homology': [57], 'compactified': [60], 'moduli': [61], 'space': [62], 'rigid': [64], 'oriented': [65], 'marked': [66], 'curves.': [67, 133], 'A': [68], 'weighted': [69], 'count': [70, 115, 129], 'rational': [72, 131], 'pseudotropical': [73, 132], 'passing': [75], 'through': [76], 'generic': [78], 'collection': [79], 'is': [82], 'interpreted': [83], 'via': [84], 'top-degree': [85], 'cycles': [86, 96], 'on': [87], 'moduli.': [89], 'construct': [91], 'family': [93], 'using': [97], 'quantum': [98], 'tori': [99], 'Lie': [100], 'algebras': [101], 'show': [103], 'that': [104], 'in': [105], 'usual': [107], 'case': [109], 'this': [110, 127], 'gives': [111], 'refined': [113], 'curve': [114], 'Block': [117], 'Göttsche.': [119], 'Finally,': [120], 'we': [121], 'derive': [122], 'recursive': [124], 'formula': [125], 'for': [126], 'Lie-weighted': [128]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2902381520', 'counts_by_year': [], 'updated_date': '2024-12-13T03:35:36.332823', 'created_date': '2018-12-11'}