Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W1996126957', 'doi': 'https://doi.org/10.1090/s1056-3911-2013-00617-7', 'title': 'Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities', 'display_name': 'Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities', 'publication_year': 2013, 'publication_date': '2013-07-29', 'ids': {'openalex': 'https://openalex.org/W1996126957', 'doi': 'https://doi.org/10.1090/s1056-3911-2013-00617-7', 'mag': '1996126957'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1090/s1056-3911-2013-00617-7', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S167509673', 'display_name': 'Journal of Algebraic Geometry', 'issn_l': '1056-3911', 'issn': ['1056-3911', '1534-7486'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315719', 'host_organization_name': 'American Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310315719'], 'host_organization_lineage_names': ['American Mathematical Society'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'acceptedVersion', 'is_accepted': True, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'hybrid', 'oa_url': 'https://doi.org/10.1090/s1056-3911-2013-00617-7', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5031149825', 'display_name': 'Arend Bayer', 'orcid': 'https://orcid.org/0000-0002-4422-372X'}, 'institutions': [{'id': 'https://openalex.org/I98677209', 'display_name': 'University of Edinburgh', 'ror': 'https://ror.org/01nrxwf90', 'country_code': 'GB', 'type': 'education', 'lineage': ['https://openalex.org/I98677209']}, {'id': 'https://openalex.org/I140172145', 'display_name': 'University of Connecticut', 'ror': 'https://ror.org/02der9h97', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I140172145']}], 'countries': ['GB', 'US'], 'is_corresponding': False, 'raw_author_name': 'Arend Bayer', 'raw_affiliation_strings': ['Department of Mathematics, University of Connecticut U-3009, 196 Auditorium Road, Storrs, Connecticut 06269-3009', 'School of Mathematics, The University of Edinburgh, James Clerk Maxwell Building, The King’s Buildings, Mayfield Road, Edinburgh, Scotland EH9 3JZ, United Kingdom'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematics, The University of Edinburgh, James Clerk Maxwell Building, The King’s Buildings, Mayfield Road, Edinburgh, Scotland EH9 3JZ, United Kingdom', 'institution_ids': ['https://openalex.org/I98677209']}, {'raw_affiliation_string': 'Department of Mathematics, University of Connecticut U-3009, 196 Auditorium Road, Storrs, Connecticut 06269-3009', 'institution_ids': ['https://openalex.org/I140172145']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5050594011', 'display_name': 'Emanuele Macrì', 'orcid': 'https://orcid.org/0000-0002-4881-6362'}, 'institutions': [{'id': 'https://openalex.org/I52357470', 'display_name': 'The Ohio State University', 'ror': 'https://ror.org/00rs6vg23', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I52357470']}, {'id': 'https://openalex.org/I135140700', 'display_name': 'University of Bonn', 'ror': 'https://ror.org/041nas322', 'country_code': 'DE', 'type': 'education', 'lineage': ['https://openalex.org/I135140700']}, {'id': 'https://openalex.org/I223532165', 'display_name': 'University of Utah', 'ror': 'https://ror.org/03r0ha626', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I223532165']}], 'countries': ['DE', 'US'], 'is_corresponding': False, 'raw_author_name': 'Emanuele Macrì', 'raw_affiliation_strings': ['Department of Mathematics, The Ohio State University, 231 W 18th Avenue, Columbus, Ohio 43210', 'Mathematical Institute, University of Bonn, Endenicher Allee 60, D-53115 Bonn, Germany & Department of Mathematics, University of Utah, 155 S 1400 E, Salt Lake City, Utah 84112'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, The Ohio State University, 231 W 18th Avenue, Columbus, Ohio 43210', 'institution_ids': ['https://openalex.org/I52357470']}, {'raw_affiliation_string': 'Mathematical Institute, University of Bonn, Endenicher Allee 60, D-53115 Bonn, Germany & Department of Mathematics, University of Utah, 155 S 1400 E, Salt Lake City, Utah 84112', 'institution_ids': ['https://openalex.org/I135140700', 'https://openalex.org/I223532165']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5044197760', 'display_name': 'Yukinobu Toda', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I166644833', 'display_name': 'Kavli Institute for the Physics and Mathematics of the Universe', 'ror': 'https://ror.org/02chw6z69', 'country_code': 'JP', 'type': 'facility', 'lineage': ['https://openalex.org/I166644833']}], 'countries': ['JP'], 'is_corresponding': False, 'raw_author_name': 'Yukinobu Toda', 'raw_affiliation_strings': ['Institute for the Physics and Mathematics of the Universe, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, 277-8583 (Japan)'], 'affiliations': [{'raw_affiliation_string': 'Institute for the Physics and Mathematics of the Universe, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, 277-8583 (Japan)', 'institution_ids': ['https://openalex.org/I166644833']}]}], 'countries_distinct_count': 4, 'institutions_distinct_count': 6, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 12.711, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 164, 'citation_normalized_percentile': {'value': 0.999807, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '23', 'issue': '1', 'first_page': '117', 'last_page': '163'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10061', 'display_name': 'Algebraic Geometry and Moduli Theory', 'score': 0.9994, '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 Moduli Theory', 'score': 0.9994, '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/T10896', 'display_name': 'Deformation Quantization of Poisson Manifolds', 'score': 0.9985, '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/T11680', 'display_name': 'Proofs of Langlands Conjectures for GL(n)', 'score': 0.9982, '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/birational-geometry', 'display_name': 'Birational Geometry', 'score': 0.4782}, {'id': 'https://openalex.org/keywords/coherent-sheaf', 'display_name': 'Coherent sheaf', 'score': 0.42443436}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8765464}, {'id': 'https://openalex.org/C2780990831', 'wikidata': 'https://www.wikidata.org/wiki/Q319141', 'display_name': 'Conjecture', 'level': 2, 'score': 0.80887115}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.71489245}, {'id': 'https://openalex.org/C2780861071', 'wikidata': 'https://www.wikidata.org/wiki/Q1062934', 'display_name': 'Character (mathematics)', 'level': 2, 'score': 0.6260942}, {'id': 'https://openalex.org/C2777299769', 'wikidata': 'https://www.wikidata.org/wiki/Q3707858', 'display_name': 'Type (biology)', 'level': 2, 'score': 0.5821048}, {'id': 'https://openalex.org/C151201525', 'wikidata': 'https://www.wikidata.org/wiki/Q177239', 'display_name': 'Limit (mathematics)', 'level': 2, 'score': 0.54192406}, {'id': 'https://openalex.org/C2778572836', 'wikidata': 'https://www.wikidata.org/wiki/Q380933', 'display_name': 'Space (punctuation)', 'level': 2, 'score': 0.53366613}, {'id': 'https://openalex.org/C112972136', 'wikidata': 'https://www.wikidata.org/wiki/Q7595718', 'display_name': 'Stability (learning theory)', 'level': 2, 'score': 0.49177936}, {'id': 'https://openalex.org/C109593458', 'wikidata': 'https://www.wikidata.org/wiki/Q5262626', 'display_name': 'Derived category', 'level': 3, 'score': 0.4377836}, {'id': 'https://openalex.org/C45555294', 'wikidata': 'https://www.wikidata.org/wiki/Q28113351', 'display_name': 'Inequality', 'level': 2, 'score': 0.43407917}, {'id': 'https://openalex.org/C143161588', 'wikidata': 'https://www.wikidata.org/wiki/Q906907', 'display_name': 'Coherent sheaf', 'level': 2, 'score': 0.42443436}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.32340932}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.12679285}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.093456954}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.047703087}, {'id': 'https://openalex.org/C18903297', 'wikidata': 'https://www.wikidata.org/wiki/Q7150', 'display_name': 'Ecology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C119857082', 'wikidata': 'https://www.wikidata.org/wiki/Q2539', 'display_name': 'Machine learning', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C156772000', 'wikidata': 'https://www.wikidata.org/wiki/Q864475', 'display_name': 'Functor', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 5, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1090/s1056-3911-2013-00617-7', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S167509673', 'display_name': 'Journal of Algebraic Geometry', 'issn_l': '1056-3911', 'issn': ['1056-3911', '1534-7486'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315719', 'host_organization_name': 'American Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310315719'], 'host_organization_lineage_names': ['American Mathematical Society'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'acceptedVersion', 'is_accepted': True, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1103.5010', 'pdf_url': 'https://arxiv.org/pdf/1103.5010', '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': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://www.pure.ed.ac.uk/ws/files/5076678/1103.5010v2', 'pdf_url': 'https://www.pure.ed.ac.uk/ws/files/5076678/1103.5010v2', 'source': {'id': 'https://openalex.org/S4306400320', 'display_name': 'Edinburgh Research Explorer (University of Edinburgh)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I98677209', 'host_organization_name': 'University of Edinburgh', 'host_organization_lineage': ['https://openalex.org/I98677209'], 'host_organization_lineage_names': ['University of Edinburgh'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://www.research.ed.ac.uk/en/publications/9c59dc1f-3dfb-4274-a178-586b3470cf86', 'pdf_url': 'https://www.research.ed.ac.uk/files/5076678/1103.5010v2', 'source': {'id': 'https://openalex.org/S4306400320', 'display_name': 'Edinburgh Research Explorer (University of Edinburgh)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I98677209', 'host_organization_name': 'University of Edinburgh', 'host_organization_lineage': ['https://openalex.org/I98677209'], 'host_organization_lineage_names': ['University of Edinburgh'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.366.4830', 'pdf_url': 'http://www.maths.ed.ac.uk/~abayer/3folds.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': 'https://doi.org/10.1090/s1056-3911-2013-00617-7', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S167509673', 'display_name': 'Journal of Algebraic Geometry', 'issn_l': '1056-3911', 'issn': ['1056-3911', '1534-7486'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315719', 'host_organization_name': 'American Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310315719'], 'host_organization_lineage_names': ['American Mathematical Society'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'acceptedVersion', 'is_accepted': True, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 43, 'referenced_works': ['https://openalex.org/W1553724041', 'https://openalex.org/W1561243097', 'https://openalex.org/W1563771464', 'https://openalex.org/W1969963488', 'https://openalex.org/W1974727658', 'https://openalex.org/W1992608520', 'https://openalex.org/W1994942508', 'https://openalex.org/W2001904056', 'https://openalex.org/W2013417314', 'https://openalex.org/W2020178906', 'https://openalex.org/W2054535895', 'https://openalex.org/W2059212000', 'https://openalex.org/W2060663265', 'https://openalex.org/W2064761337', 'https://openalex.org/W2074122603', 'https://openalex.org/W2076122319', 'https://openalex.org/W2085640574', 'https://openalex.org/W2088589971', 'https://openalex.org/W2096414123', 'https://openalex.org/W2103494288', 'https://openalex.org/W2110382157', 'https://openalex.org/W2133314243', 'https://openalex.org/W2138687936', 'https://openalex.org/W2154483904', 'https://openalex.org/W2158597807', 'https://openalex.org/W2161980980', 'https://openalex.org/W2168185518', 'https://openalex.org/W2604272396', 'https://openalex.org/W2950503359', 'https://openalex.org/W2951895223', 'https://openalex.org/W2963337301', 'https://openalex.org/W2964116518', 'https://openalex.org/W2964231460', 'https://openalex.org/W3099479348', 'https://openalex.org/W3100090542', 'https://openalex.org/W3106489028', 'https://openalex.org/W3111739626', 'https://openalex.org/W3122126255', 'https://openalex.org/W3123525003', 'https://openalex.org/W4212998730', 'https://openalex.org/W4238065825', 'https://openalex.org/W52805277', 'https://openalex.org/W64092317'], 'related_works': ['https://openalex.org/W4380993965', 'https://openalex.org/W4300437293', 'https://openalex.org/W3098749204', 'https://openalex.org/W3026358768', 'https://openalex.org/W2952688768', 'https://openalex.org/W2897153210', 'https://openalex.org/W2006790140', 'https://openalex.org/W1996126957', 'https://openalex.org/W1655075947', 'https://openalex.org/W1531746050'], 'abstract_inverted_index': {'We': [0, 15, 28, 49], 'construct': [1], 'new': [2], 't-structures': [3], 'on': [4, 11], 'the': [5, 24, 41, 59, 74, 80], 'derived': [6], 'category': [7], 'of': [8, 45, 61, 73], 'coherent': [9], 'sheaves': [10], 'smooth': [12], 'projective': [13, 62], 'threefolds.': [14], 'conjecture': [16, 32, 51], 'that': [17, 30], 'they': [18], 'give': [19], 'Bridgeland': [20], 'stability': [21], 'conditions': [22], 'near': [23], 'large': [25], 'volume': [26], 'limit.': [27], 'show': [29], 'this': [31], 'is': [33], 'equivalent': [34], 'to': [35], 'a': [36, 52, 71], 'Bogomolov-Gieseker': [37, 76], 'type': [38], 'inequality': [39], 'for': [40, 65, 84], 'third': [42, 81], 'Chern': [43, 82], 'character': [44], 'certain': [46], 'stable': [47, 85], 'complexes.': [48, 86], 'also': [50], 'stronger': [53], 'inequality,': [54, 77], 'and': [55, 64], 'prove': [56, 70], 'it': [57], 'in': [58], 'case': [60], 'space,': [63], 'various': [66], 'examples.': [67], 'Finally,': [68], 'we': [69], 'version': [72], 'classical': [75], 'not': [78], 'involving': [79], 'character,': [83]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1996126957', 'counts_by_year': [{'year': 2024, 'cited_by_count': 8}, {'year': 2023, 'cited_by_count': 12}, {'year': 2022, 'cited_by_count': 18}, {'year': 2021, 'cited_by_count': 14}, {'year': 2020, 'cited_by_count': 18}, {'year': 2019, 'cited_by_count': 19}, {'year': 2018, 'cited_by_count': 11}, {'year': 2017, 'cited_by_count': 15}, {'year': 2016, 'cited_by_count': 16}, {'year': 2015, 'cited_by_count': 8}, {'year': 2014, 'cited_by_count': 16}, {'year': 2013, 'cited_by_count': 7}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-08-31T16:04:42.648292', 'created_date': '2016-06-24'}