Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W1517555734', 'doi': None, 'title': 'Homology and Cohomology of Toric Varieties', 'display_name': 'Homology and Cohomology of Toric Varieties', 'publication_year': 1998, 'publication_date': '1998-01-01', 'ids': {'openalex': 'https://openalex.org/W1517555734', 'mag': '1517555734'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'http://ci.nii.ac.jp/ncid/BA37525810', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book', 'type_crossref': 'book', 'indexed_in': [], '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/A5068937234', 'display_name': 'Arno Jordan', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Arno Jordan', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5068937234'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.199, 'has_fulltext': False, 'cited_by_count': 24, 'citation_normalized_percentile': {'value': 0.62963, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 86, 'max': 87}, 'biblio': {'volume': None, 'issue': None, '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': 0.9983, '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': 0.9983, '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/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.9978, 'subfield': {'id': 'https://openalex.org/subfields/2607', 'display_name': 'Discrete Mathematics and Combinatorics'}, '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': 0.9975, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/homology', 'display_name': 'Homology', 'score': 0.650676}], 'concepts': [{'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.72188777}, {'id': 'https://openalex.org/C165525559', 'wikidata': 'https://www.wikidata.org/wiki/Q224180', 'display_name': 'Homology (biology)', 'level': 3, 'score': 0.650676}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5681954}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.55308217}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.3745465}, {'id': 'https://openalex.org/C184720557', 'wikidata': 'https://www.wikidata.org/wiki/Q7825049', 'display_name': 'Topology (electrical circuits)', 'level': 2, 'score': 0.3458566}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.33909118}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.26608196}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.17174327}, {'id': 'https://openalex.org/C54355233', 'wikidata': 'https://www.wikidata.org/wiki/Q7162', 'display_name': 'Genetics', 'level': 1, 'score': 0.13639751}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0438582}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'http://ci.nii.ac.jp/ncid/BA37525810', 'pdf_url': None, 'source': None, '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': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W2963113423', 'https://openalex.org/W2947482821', 'https://openalex.org/W282800285', 'https://openalex.org/W2798585591', 'https://openalex.org/W2564485334', 'https://openalex.org/W2531523271', 'https://openalex.org/W2496405844', 'https://openalex.org/W2495035381', 'https://openalex.org/W2494647748', 'https://openalex.org/W2490795531', 'https://openalex.org/W2487014755', 'https://openalex.org/W2484705985', 'https://openalex.org/W2483830289', 'https://openalex.org/W2230365067', 'https://openalex.org/W21981384', 'https://openalex.org/W2194922748', 'https://openalex.org/W2036968063', 'https://openalex.org/W2022883564', 'https://openalex.org/W1988571262', 'https://openalex.org/W1521877949'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1517555734', 'counts_by_year': [{'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 4}, {'year': 2020, 'cited_by_count': 2}, {'year': 2018, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 2}, {'year': 2016, 'cited_by_count': 2}, {'year': 2015, 'cited_by_count': 1}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-12-13T04:20:35.436128', 'created_date': '2016-06-24'}