Equality in the Bogomolov--Miyaoka--Yau inequality in the non-general type case

Feng Hao; Stefan Schreieder
{'id': 'https://openalex.org/W3121581264', 'doi': 'https://doi.org/10.48550/arxiv.2003.14020', 'title': 'Equality in the Bogomolov--Miyaoka--Yau inequality in the non-general type case', 'display_name': 'Equality in the Bogomolov--Miyaoka--Yau inequality in the non-general type case', 'publication_year': 2020, 'publication_date': '2020-01-01', 'ids': {'openalex': 'https://openalex.org/W3121581264', 'doi': 'https://doi.org/10.48550/arxiv.2003.14020', 'mag': '3121581264'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/2003.14020', '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': ['arxiv', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/2003.14020', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5101865232', 'display_name': 'Feng Hao', 'orcid': 'https://orcid.org/0009-0001-7691-7670'}, 'institutions': [{'id': 'https://openalex.org/I99464096', 'display_name': 'KU Leuven', 'ror': 'https://ror.org/05f950310', 'country_code': 'BE', 'type': 'education', 'lineage': ['https://openalex.org/I99464096']}], 'countries': ['BE'], 'is_corresponding': False, 'raw_author_name': 'Feng Hao', 'raw_affiliation_strings': ['KU Leuven, Celestijnenlaan 200B, B-3001 Leuven, Belgium'], 'affiliations': [{'raw_affiliation_string': 'KU Leuven, Celestijnenlaan 200B, B-3001 Leuven, Belgium', 'institution_ids': ['https://openalex.org/I99464096']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5055060057', 'display_name': 'Stefan Schreieder', 'orcid': 'https://orcid.org/0000-0003-0034-2206'}, 'institutions': [{'id': 'https://openalex.org/I114112103', 'display_name': 'Leibniz University Hannover', 'ror': 'https://ror.org/0304hq317', 'country_code': 'DE', 'type': 'education', 'lineage': ['https://openalex.org/I114112103']}], 'countries': ['DE'], 'is_corresponding': False, 'raw_author_name': 'Stefan Schreieder', 'raw_affiliation_strings': ['Institut für Algebraische Geometrie Leibniz‐Universität Hannover Welfengarten 1 30167 Hannover Germany'], 'affiliations': [{'raw_affiliation_string': 'Institut für Algebraische Geometrie Leibniz‐Universität Hannover Welfengarten 1 30167 Hannover Germany', 'institution_ids': ['https://openalex.org/I114112103']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], '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': 61}, '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': 0.999, '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': 0.999, '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/T12351', 'display_name': 'Geometry and complex manifolds', 'score': 0.9987, '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': 0.9983, '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/kodaira-dimension', 'display_name': 'Kodaira dimension', 'score': 0.8604574}, {'id': 'https://openalex.org/keywords/constant', 'display_name': 'Constant (computer programming)', 'score': 0.5826538}, {'id': 'https://openalex.org/keywords/minimal-models', 'display_name': 'Minimal Models', 'score': 0.46759337}], 'concepts': [{'id': 'https://openalex.org/C2777969054', 'wikidata': 'https://www.wikidata.org/wiki/Q6425087', 'display_name': 'Kodaira dimension', 'level': 2, 'score': 0.8604574}, {'id': 'https://openalex.org/C33676613', 'wikidata': 'https://www.wikidata.org/wiki/Q13415176', 'display_name': 'Dimension (graph theory)', 'level': 2, 'score': 0.8517889}, {'id': 'https://openalex.org/C2780990831', 'wikidata': 'https://www.wikidata.org/wiki/Q319141', 'display_name': 'Conjecture', 'level': 2, 'score': 0.8250034}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7935581}, {'id': 'https://openalex.org/C2777299769', 'wikidata': 'https://www.wikidata.org/wiki/Q3707858', 'display_name': 'Type (biology)', 'level': 2, 'score': 0.67273176}, {'id': 'https://openalex.org/C2777027219', 'wikidata': 'https://www.wikidata.org/wiki/Q1284190', 'display_name': 'Constant (computer programming)', 'level': 2, 'score': 0.5826538}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.56280476}, {'id': 'https://openalex.org/C45555294', 'wikidata': 'https://www.wikidata.org/wiki/Q28113351', 'display_name': 'Inequality', 'level': 2, 'score': 0.49585447}, {'id': 'https://openalex.org/C2778681612', 'wikidata': 'https://www.wikidata.org/wiki/Q15427593', 'display_name': 'Minimal models', 'level': 2, 'score': 0.46759337}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.46416715}, {'id': 'https://openalex.org/C18762648', 'wikidata': 'https://www.wikidata.org/wiki/Q42213', 'display_name': 'Work (physics)', 'level': 2, 'score': 0.41762748}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.30872038}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.16815022}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.061766475}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', 'level': 1, 'score': 0.060272276}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C18903297', 'wikidata': 'https://www.wikidata.org/wiki/Q7150', 'display_name': 'Ecology', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/2003.14020', '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.2003.14020', '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/2003.14020', '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': [{'display_name': 'Reduced inequalities', 'id': 'https://metadata.un.org/sdg/10', 'score': 0.52}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 13, 'referenced_works': ['https://openalex.org/W126691111', 'https://openalex.org/W1532310071', 'https://openalex.org/W1534028610', 'https://openalex.org/W2005023435', 'https://openalex.org/W2027430137', 'https://openalex.org/W2053617642', 'https://openalex.org/W2059220998', 'https://openalex.org/W2073382138', 'https://openalex.org/W2074934256', 'https://openalex.org/W2083267964', 'https://openalex.org/W2503805578', 'https://openalex.org/W560578122', 'https://openalex.org/W644598453'], 'related_works': ['https://openalex.org/W4301002700', 'https://openalex.org/W4287898938', 'https://openalex.org/W4287783584', 'https://openalex.org/W4221162273', 'https://openalex.org/W3118785056', 'https://openalex.org/W3048484909', 'https://openalex.org/W3021090545', 'https://openalex.org/W3004087975', 'https://openalex.org/W2971664441', 'https://openalex.org/W2054989080'], 'abstract_inverted_index': {'We': [0], 'classify': [1], 'all': [2], 'minimal': [3, 44], 'models': [4], 'X': [5], 'of': [6, 22, 27, 56], 'dimension': [7, 10], 'n,': [8], 'Kodaira': [9], 'n-1': [11], 'and': [12, 29], 'with': [13], 'vanishing': [14], 'Chern': [15], 'number': [16], '$c_1^{n-2}c_2(X)=0$.': [17], 'This': [18, 51], 'solves': [19], 'a': [20, 37, 54], 'problem': [21], "Koll\\'ar.": [23, 57], 'Completing': [24], 'previous': [25], 'work': [26], "Koll\\'ar": [28], 'Grassi,': [30], 'we': [31], 'also': [32], 'show': [33], 'that': [34, 42], 'there': [35], 'is': [36], 'universal': [38], 'constant': [39], '$\\epsilon>0$': [40], 'such': [41], 'any': [43], 'threefold': [45], 'satisfies': [46], 'either': [47], '$c_1c_2=0$': [48], 'or': [49], '$-c_1c_2>\\epsilon$.': [50], 'settles': [52], 'completely': [53], 'conjecture': [55]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3121581264', 'counts_by_year': [], 'updated_date': '2024-12-13T00:22:20.909455', 'created_date': '2021-02-01'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
