Publication Information

{'id': 'https://openalex.org/W162541698', 'doi': 'https://doi.org/10.48550/arxiv.math/0308266', 'title': 'Fixed Points of Torus Action and Cohomology Ring of Toric Varieties', 'display_name': 'Fixed Points of Torus Action and Cohomology Ring of Toric Varieties', 'publication_year': 2003, 'publication_date': '2003-01-01', 'ids': {'openalex': 'https://openalex.org/W162541698', 'doi': 'https://doi.org/10.48550/arxiv.math/0308266', 'mag': '162541698'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/math/0308266', '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/math/0308266', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5069477356', 'display_name': 'Kiumars Kaveh', 'orcid': 'https://orcid.org/0000-0002-7251-732X'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Kiumars Kaveh', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5069477356'], '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': 59}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.9996, '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'}}, 'topics': [{'id': 'https://openalex.org/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.9996, '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/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9973, '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/T12069', 'display_name': 'Commutative Algebra and Its Applications', 'score': 0.9961, '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/toric-variety', 'display_name': 'Toric variety', 'score': 0.8208992}, {'id': 'https://openalex.org/keywords/cohomology-ring', 'display_name': 'Cohomology ring', 'score': 0.70496273}, {'id': 'https://openalex.org/keywords/isomorphism', 'display_name': 'Isomorphism (crystallography)', 'score': 0.6212652}, {'id': 'https://openalex.org/keywords/filtration', 'display_name': 'Filtration (mathematics)', 'score': 0.41582406}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8409718}, {'id': 'https://openalex.org/C5052557', 'wikidata': 'https://www.wikidata.org/wiki/Q1528306', 'display_name': 'Toric variety', 'level': 2, 'score': 0.8208992}, {'id': 'https://openalex.org/C2779185822', 'wikidata': 'https://www.wikidata.org/wiki/Q5141399', 'display_name': 'Cohomology ring', 'level': 4, 'score': 0.70496273}, {'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.66329163}, {'id': 'https://openalex.org/C203436722', 'wikidata': 'https://www.wikidata.org/wiki/Q902950', 'display_name': 'Isomorphism (crystallography)', 'level': 3, 'score': 0.6212652}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5774039}, {'id': 'https://openalex.org/C2780378348', 'wikidata': 'https://www.wikidata.org/wiki/Q25351438', 'display_name': 'Ring (chemistry)', 'level': 2, 'score': 0.55221194}, {'id': 'https://openalex.org/C145691206', 'wikidata': 'https://www.wikidata.org/wiki/Q747980', 'display_name': 'Polytope', 'level': 2, 'score': 0.5464044}, {'id': 'https://openalex.org/C9767117', 'wikidata': 'https://www.wikidata.org/wiki/Q12510', 'display_name': 'Torus', 'level': 2, 'score': 0.5132849}, {'id': 'https://openalex.org/C136197465', 'wikidata': 'https://www.wikidata.org/wiki/Q1729295', 'display_name': 'Variety (cybernetics)', 'level': 2, 'score': 0.46579325}, {'id': 'https://openalex.org/C128489963', 'wikidata': 'https://www.wikidata.org/wiki/Q1187724', 'display_name': 'Filtration (mathematics)', 'level': 2, 'score': 0.41582406}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.41178662}, {'id': 'https://openalex.org/C72738302', 'wikidata': 'https://www.wikidata.org/wiki/Q5384738', 'display_name': 'Equivariant cohomology', 'level': 3, 'score': 0.3645405}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.36081275}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.13128206}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C178790620', 'wikidata': 'https://www.wikidata.org/wiki/Q11351', 'display_name': 'Organic chemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C115624301', 'wikidata': 'https://www.wikidata.org/wiki/Q895901', 'display_name': 'Crystal structure', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C8010536', 'wikidata': 'https://www.wikidata.org/wiki/Q160398', 'display_name': 'Crystallography', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/math/0308266', '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.math/0308266', '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/math/0308266', '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': 6, 'referenced_works': ['https://openalex.org/W1521877949', 'https://openalex.org/W1564746808', 'https://openalex.org/W2094837316', 'https://openalex.org/W311577020', 'https://openalex.org/W3186607004', 'https://openalex.org/W652882858'], 'related_works': ['https://openalex.org/W4388725899', 'https://openalex.org/W4321471341', 'https://openalex.org/W4296266178', 'https://openalex.org/W3106474851', 'https://openalex.org/W2953085384', 'https://openalex.org/W2899509326', 'https://openalex.org/W2495098093', 'https://openalex.org/W2287564435', 'https://openalex.org/W2144322695', 'https://openalex.org/W185862059'], 'abstract_inverted_index': {'Let': [0, 8], 'X': [1], 'be': [2, 10], 'a': [3, 20], 'smooth': [4], 'simplicial': [5], 'toric': [6, 64], 'variety.': [7], 'Z': [9], 'the': [11, 24, 38, 45, 48, 56, 61, 78], 'set': [12], 'of': [13, 16, 26, 41, 47, 51, 58, 63, 77], 'T-fixed': [14], 'points': [15], 'X.': [17, 42], 'We': [18, 66], 'construct': [19], 'filtration': [21], 'for': [22], 'A(Z),': [23], 'ring': [25], 'complex-valued': [27], 'functions': [28], 'on': [29, 55], 'Z,': [30], 'such': [31], 'that': [32], 'Gr': [33, 72], 'A(Z)': [34, 73], 'is': [35, 44], 'isomorphic': [36], 'to': [37], 'cohomology': [39, 57], 'algebra': [40], 'This': [43], 'explanation': [46], 'general': [49], 'results': [50], 'Carrell': [52], 'and': [53, 74], 'Liebermann': [54], 'T-varities,': [59], 'in': [60], 'case': [62], 'varieties.': [65], 'give': [67], 'an': [68], 'explicit': [69], 'isomorphism': [70], 'between': [71], "Brion's": [75], 'description': [76], 'polytope': [79], 'algebra.': [80]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W162541698', 'counts_by_year': [], 'updated_date': '2024-12-12T18:13:17.076573', 'created_date': '2016-06-24'}