Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2015968078', 'doi': 'https://doi.org/10.1007/s11537-007-0639-x', 'title': 'Some aspects of the Hodge conjecture', 'display_name': 'Some aspects of the Hodge conjecture', 'publication_year': 2007, 'publication_date': '2007-09-01', 'ids': {'openalex': 'https://openalex.org/W2015968078', 'doi': 'https://doi.org/10.1007/s11537-007-0639-x', 'mag': '2015968078'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s11537-007-0639-x', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S156728337', 'display_name': 'Japanese journal of mathematics', 'issn_l': '0289-2316', 'issn': ['0289-2316', '1861-3624'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319900', 'https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Science+Business Media', 'Springer Nature'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': 'http://www.math.polytechnique.fr/~voisin/Articlesweb/takagifinal.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5111439625', 'display_name': 'Claire Voisin', 'orcid': 'https://orcid.org/0000-0001-5757-8282'}, 'institutions': [{'id': 'https://openalex.org/I1294671590', 'display_name': 'Centre National de la Recherche Scientifique', 'ror': 'https://ror.org/02feahw73', 'country_code': 'FR', 'type': 'government', 'lineage': ['https://openalex.org/I1294671590']}], 'countries': ['FR'], 'is_corresponding': True, 'raw_author_name': 'Claire Voisin', 'raw_affiliation_strings': ['CNRS-UMR 7586'], 'affiliations': [{'raw_affiliation_string': 'CNRS-UMR 7586', 'institution_ids': ['https://openalex.org/I1294671590']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5111439625'], 'corresponding_institution_ids': ['https://openalex.org/I1294671590'], 'apc_list': None, 'apc_paid': None, 'fwci': 3.027, 'has_fulltext': False, 'cited_by_count': 102, 'citation_normalized_percentile': {'value': 0.999739, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 97, 'max': 98}, 'biblio': {'volume': '2', 'issue': '2', 'first_page': '261', 'last_page': '296'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9998, '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': 0.9998, '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/T11680', 'display_name': 'Advanced Algebra and Geometry', 'score': 0.9956, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, '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/T11166', 'display_name': 'Analytic Number Theory Research', 'score': 0.9761, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, '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/hodge-conjecture', 'display_name': 'Hodge conjecture', 'score': 0.9341849}, {'id': 'https://openalex.org/keywords/hodge-dual', 'display_name': 'Hodge dual', 'score': 0.41413784}], 'concepts': [{'id': 'https://openalex.org/C54678060', 'wikidata': 'https://www.wikidata.org/wiki/Q1143138', 'display_name': 'Hodge conjecture', 'level': 4, 'score': 0.9341849}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8560816}, {'id': 'https://openalex.org/C2780990831', 'wikidata': 'https://www.wikidata.org/wiki/Q319141', 'display_name': 'Conjecture', 'level': 2, 'score': 0.7452191}, {'id': 'https://openalex.org/C155069649', 'wikidata': 'https://www.wikidata.org/wiki/Q1317202', 'display_name': 'Hodge theory', 'level': 3, 'score': 0.6864232}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5567545}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.43199766}, {'id': 'https://openalex.org/C199793520', 'wikidata': 'https://www.wikidata.org/wiki/Q4723996', 'display_name': 'Algebraic cycle', 'level': 3, 'score': 0.42188138}, {'id': 'https://openalex.org/C68363185', 'wikidata': 'https://www.wikidata.org/wiki/Q180969', 'display_name': 'Algebraic geometry', 'level': 2, 'score': 0.419582}, {'id': 'https://openalex.org/C114417882', 'wikidata': 'https://www.wikidata.org/wiki/Q1622692', 'display_name': 'Hodge dual', 'level': 4, 'score': 0.41413784}, {'id': 'https://openalex.org/C84597430', 'wikidata': 'https://www.wikidata.org/wiki/Q106227', 'display_name': 'Locus (genetics)', 'level': 3, 'score': 0.41402748}, {'id': 'https://openalex.org/C9376300', 'wikidata': 'https://www.wikidata.org/wiki/Q168817', 'display_name': 'Algebraic number', 'level': 2, 'score': 0.39996362}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.18534884}, {'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s11537-007-0639-x', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S156728337', 'display_name': 'Japanese journal of mathematics', 'issn_l': '0289-2316', 'issn': ['0289-2316', '1861-3624'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319900', 'https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Science+Business Media', 'Springer Nature'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.638.1667', 'pdf_url': 'http://www.math.polytechnique.fr/~voisin/Articlesweb/takagifinal.pdf', 'source': {'id': 'https://openalex.org/S4306400349', 'display_name': 'CiteSeer X (The Pennsylvania State University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I130769515', 'host_organization_name': 'Pennsylvania State University', 'host_organization_lineage': ['https://openalex.org/I130769515'], 'host_organization_lineage_names': ['Pennsylvania State University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.638.1667', 'pdf_url': 'http://www.math.polytechnique.fr/~voisin/Articlesweb/takagifinal.pdf', 'source': {'id': 'https://openalex.org/S4306400349', 'display_name': 'CiteSeer X (The Pennsylvania State University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I130769515', 'host_organization_name': 'Pennsylvania State University', 'host_organization_lineage': ['https://openalex.org/I130769515'], 'host_organization_lineage_names': ['Pennsylvania State University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [{'id': 'https://metadata.un.org/sdg/10', 'score': 0.43, 'display_name': 'Reduced inequalities'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 47, 'referenced_works': ['https://openalex.org/W13320186', 'https://openalex.org/W1538392730', 'https://openalex.org/W1557958895', 'https://openalex.org/W1603504427', 'https://openalex.org/W1619207062', 'https://openalex.org/W1635799291', 'https://openalex.org/W164371952', 'https://openalex.org/W180261308', 'https://openalex.org/W1964202216', 'https://openalex.org/W1981281846', 'https://openalex.org/W1995183652', 'https://openalex.org/W1998475137', 'https://openalex.org/W2001237404', 'https://openalex.org/W2010969668', 'https://openalex.org/W2021540843', 'https://openalex.org/W2023845626', 'https://openalex.org/W2028590532', 'https://openalex.org/W2032262119', 'https://openalex.org/W2034958095', 'https://openalex.org/W2057221822', 'https://openalex.org/W2061952059', 'https://openalex.org/W2067398762', 'https://openalex.org/W2070603816', 'https://openalex.org/W2079184032', 'https://openalex.org/W2092940386', 'https://openalex.org/W2098824966', 'https://openalex.org/W2128028710', 'https://openalex.org/W2158048440', 'https://openalex.org/W2255722026', 'https://openalex.org/W2279016243', 'https://openalex.org/W2304321832', 'https://openalex.org/W2312240872', 'https://openalex.org/W2317070658', 'https://openalex.org/W2318546049', 'https://openalex.org/W2324746197', 'https://openalex.org/W2329179214', 'https://openalex.org/W2402163452', 'https://openalex.org/W2572894437', 'https://openalex.org/W2967805221', 'https://openalex.org/W2985944731', 'https://openalex.org/W4237364295', 'https://openalex.org/W4248123129', 'https://openalex.org/W4250550876', 'https://openalex.org/W4252870413', 'https://openalex.org/W4285719527', 'https://openalex.org/W4301140172', 'https://openalex.org/W76011096'], 'related_works': ['https://openalex.org/W4362651604', 'https://openalex.org/W4362651603', 'https://openalex.org/W4298324537', 'https://openalex.org/W4237677003', 'https://openalex.org/W4234200652', 'https://openalex.org/W404298870', 'https://openalex.org/W2949168118', 'https://openalex.org/W1932683576', 'https://openalex.org/W1557958895', 'https://openalex.org/W1493340484'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2015968078', 'counts_by_year': [{'year': 2024, 'cited_by_count': 2}, {'year': 2023, 'cited_by_count': 8}, {'year': 2022, 'cited_by_count': 10}, {'year': 2021, 'cited_by_count': 10}, {'year': 2020, 'cited_by_count': 11}, {'year': 2019, 'cited_by_count': 10}, {'year': 2018, 'cited_by_count': 7}, {'year': 2017, 'cited_by_count': 8}, {'year': 2016, 'cited_by_count': 4}, {'year': 2015, 'cited_by_count': 2}, {'year': 2014, 'cited_by_count': 9}, {'year': 2013, 'cited_by_count': 1}, {'year': 2012, 'cited_by_count': 5}], 'updated_date': '2024-12-28T18:03:57.820651', 'created_date': '2016-06-24'}