Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2493516500', 'doi': 'https://doi.org/10.1007/978-3-540-49046-3_5', 'title': 'An Introduction to the Hodge Conjecture for Abelian Varieties', 'display_name': 'An Introduction to the Hodge Conjecture for Abelian Varieties', 'publication_year': 1994, 'publication_date': '1994-01-01', 'ids': {'openalex': 'https://openalex.org/W2493516500', 'doi': 'https://doi.org/10.1007/978-3-540-49046-3_5', 'mag': '2493516500'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-3-540-49046-3_5', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S118039931', 'display_name': 'Lecture notes in mathematics', 'issn_l': '0075-8434', 'issn': ['0075-8434', '1617-9692'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'book series'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book-chapter', 'type_crossref': 'book-chapter', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5048141295', 'display_name': 'Bert van Geemen', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I193662353', 'display_name': 'Utrecht University', 'ror': 'https://ror.org/04pp8hn57', 'country_code': 'NL', 'type': 'education', 'lineage': ['https://openalex.org/I193662353']}], 'countries': ['NL'], 'is_corresponding': True, 'raw_author_name': 'Bert van Geemen', 'raw_affiliation_strings': ['Department of Mathematics RUU, P.O. Box 80.010, 3508TA, Utrecht, The Netherlands'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics RUU, P.O. Box 80.010, 3508TA, Utrecht, The Netherlands', 'institution_ids': ['https://openalex.org/I193662353']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5048141295'], 'corresponding_institution_ids': ['https://openalex.org/I193662353'], 'apc_list': None, 'apc_paid': None, 'fwci': 3.065, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 31, 'citation_normalized_percentile': {'value': 0.951909, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 88, 'max': 89}, 'biblio': {'volume': None, 'issue': None, 'first_page': '233', 'last_page': '252'}, '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': 0.9757, '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/T11435', 'display_name': 'Polynomial and algebraic computation', 'score': 0.9195, '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': 0.88513017}, {'id': 'https://openalex.org/keywords/abelian-variety', 'display_name': 'Abelian variety', 'score': 0.47293237}], 'concepts': [{'id': 'https://openalex.org/C54678060', 'wikidata': 'https://www.wikidata.org/wiki/Q1143138', 'display_name': 'Hodge conjecture', 'level': 4, 'score': 0.88513017}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.86223334}, {'id': 'https://openalex.org/C136170076', 'wikidata': 'https://www.wikidata.org/wiki/Q181296', 'display_name': 'Abelian group', 'level': 2, 'score': 0.8155179}, {'id': 'https://openalex.org/C2780990831', 'wikidata': 'https://www.wikidata.org/wiki/Q319141', 'display_name': 'Conjecture', 'level': 2, 'score': 0.6874462}, {'id': 'https://openalex.org/C195637984', 'wikidata': 'https://www.wikidata.org/wiki/Q4791130', 'display_name': 'Arithmetic of abelian varieties', 'level': 5, 'score': 0.6400826}, {'id': 'https://openalex.org/C155069649', 'wikidata': 'https://www.wikidata.org/wiki/Q1317202', 'display_name': 'Hodge theory', 'level': 3, 'score': 0.61934763}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5728936}, {'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.56383467}, {'id': 'https://openalex.org/C136197465', 'wikidata': 'https://www.wikidata.org/wiki/Q1729295', 'display_name': 'Variety (cybernetics)', 'level': 2, 'score': 0.48481503}, {'id': 'https://openalex.org/C46709022', 'wikidata': 'https://www.wikidata.org/wiki/Q318751', 'display_name': 'Abelian variety', 'level': 3, 'score': 0.47293237}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.3901461}, {'id': 'https://openalex.org/C200681373', 'wikidata': 'https://www.wikidata.org/wiki/Q1260803', 'display_name': 'Rank of an abelian group', 'level': 4, 'score': 0.28870302}, {'id': 'https://openalex.org/C81008192', 'wikidata': 'https://www.wikidata.org/wiki/Q1017231', 'display_name': 'Elementary abelian group', 'level': 3, 'score': 0.27712497}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-3-540-49046-3_5', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S118039931', 'display_name': 'Lecture notes in mathematics', 'issn_l': '0075-8434', 'issn': ['0075-8434', '1617-9692'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'book series'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 13, 'referenced_works': ['https://openalex.org/W132638804', 'https://openalex.org/W1540991653', 'https://openalex.org/W1988000939', 'https://openalex.org/W1995922328', 'https://openalex.org/W2001123883', 'https://openalex.org/W2040324351', 'https://openalex.org/W2055356476', 'https://openalex.org/W2067240931', 'https://openalex.org/W2084793027', 'https://openalex.org/W2321786888', 'https://openalex.org/W2489839998', 'https://openalex.org/W2602171201', 'https://openalex.org/W28469249'], 'related_works': ['https://openalex.org/W4388406025', 'https://openalex.org/W4310921369', 'https://openalex.org/W4302374492', 'https://openalex.org/W3197242648', 'https://openalex.org/W2952487033', 'https://openalex.org/W2950289925', 'https://openalex.org/W2493516500', 'https://openalex.org/W2485955148', 'https://openalex.org/W2112745922', 'https://openalex.org/W2086716392'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2493516500', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2023, 'cited_by_count': 1}, {'year': 2022, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 1}, {'year': 2019, 'cited_by_count': 2}, {'year': 2016, 'cited_by_count': 2}, {'year': 2013, 'cited_by_count': 1}], 'updated_date': '2024-12-16T21:30:18.642003', 'created_date': '2016-08-23'}