Polystable log Calabi-Yau varieties and Gravitational instantons

Name: Work Video:
Duration: 3 min 30 s
Yuji Odaka
{'id': 'https://openalex.org/W3089823710', 'doi': 'https://doi.org/10.48550/arxiv.2009.13876', 'title': 'Polystable log Calabi-Yau varieties and Gravitational instantons', 'display_name': 'Polystable log Calabi-Yau varieties and Gravitational instantons', 'publication_year': 2020, 'publication_date': '2020-01-01', 'ids': {'openalex': 'https://openalex.org/W3089823710', 'doi': 'https://doi.org/10.48550/arxiv.2009.13876', 'mag': '3089823710'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/2009.13876', '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/2009.13876', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5057613734', 'display_name': 'Yuji Odaka', 'orcid': 'https://orcid.org/0000-0002-6239-4960'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Yuji Odaka', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5057613734'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 4, 'citation_normalized_percentile': {'value': 0.945705, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 77, 'max': 79}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12351', 'display_name': 'Geometry and complex manifolds', 'score': 1.0, '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/T12351', 'display_name': 'Geometry and complex manifolds', 'score': 1.0, '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/T10229', 'display_name': 'Geometric Analysis and Curvature Flows', 'score': 0.999, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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': 0.9775, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/calabi–yau-manifold', 'display_name': 'Calabi–Yau manifold', 'score': 0.9418289}, {'id': 'https://openalex.org/keywords/instanton', 'display_name': 'Instanton', 'score': 0.84631264}], 'concepts': [{'id': 'https://openalex.org/C158260368', 'wikidata': 'https://www.wikidata.org/wiki/Q549959', 'display_name': 'Calabi–Yau manifold', 'level': 2, 'score': 0.9418289}, {'id': 'https://openalex.org/C125198404', 'wikidata': 'https://www.wikidata.org/wiki/Q1192916', 'display_name': 'Instanton', 'level': 2, 'score': 0.84631264}, {'id': 'https://openalex.org/C18648836', 'wikidata': 'https://www.wikidata.org/wiki/Q381892', 'display_name': 'Compact space', 'level': 2, 'score': 0.75835216}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6424927}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.6278714}, {'id': 'https://openalex.org/C2777299769', 'wikidata': 'https://www.wikidata.org/wiki/Q3707858', 'display_name': 'Type (biology)', 'level': 2, 'score': 0.449749}, {'id': 'https://openalex.org/C124017977', 'wikidata': 'https://www.wikidata.org/wiki/Q11412', 'display_name': 'Gravitation', 'level': 2, 'score': 0.42532036}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.3269626}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.2601238}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.25755203}, {'id': 'https://openalex.org/C74650414', 'wikidata': 'https://www.wikidata.org/wiki/Q11397', 'display_name': 'Classical mechanics', 'level': 1, 'score': 0.14038408}, {'id': 'https://openalex.org/C18903297', 'wikidata': 'https://www.wikidata.org/wiki/Q7150', 'display_name': 'Ecology', '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}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/2009.13876', '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.2009.13876', '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/2009.13876', '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': [{'score': 0.46, 'id': 'https://metadata.un.org/sdg/10', 'display_name': 'Reduced inequalities'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 76, 'referenced_works': ['https://openalex.org/W1480755397', 'https://openalex.org/W1504483056', 'https://openalex.org/W1523515931', 'https://openalex.org/W1549562143', 'https://openalex.org/W157547601', 'https://openalex.org/W1577877361', 'https://openalex.org/W1609736218', 'https://openalex.org/W1625613309', 'https://openalex.org/W1747547793', 'https://openalex.org/W1749119998', 'https://openalex.org/W1817061557', 'https://openalex.org/W1872318874', 'https://openalex.org/W1969147834', 'https://openalex.org/W1971988207', 'https://openalex.org/W1992432286', 'https://openalex.org/W1994934481', 'https://openalex.org/W2005023435', 'https://openalex.org/W2009789482', 'https://openalex.org/W2021499246', 'https://openalex.org/W2031676712', 'https://openalex.org/W2036329553', 'https://openalex.org/W2036989507', 'https://openalex.org/W2042150559', 'https://openalex.org/W2062592385', 'https://openalex.org/W2070242545', 'https://openalex.org/W2074315717', 'https://openalex.org/W2075114146', 'https://openalex.org/W2077402169', 'https://openalex.org/W2081028496', 'https://openalex.org/W2092840772', 'https://openalex.org/W2102791955', 'https://openalex.org/W2111642707', 'https://openalex.org/W2122280868', 'https://openalex.org/W2123962291', 'https://openalex.org/W2132525987', 'https://openalex.org/W2154785235', 'https://openalex.org/W2155829894', 'https://openalex.org/W2158129746', 'https://openalex.org/W2161407970', 'https://openalex.org/W2161418964', 'https://openalex.org/W2182713599', 'https://openalex.org/W2304115522', 'https://openalex.org/W2326857801', 'https://openalex.org/W2515086467', 'https://openalex.org/W2536537110', 'https://openalex.org/W2584458644', 'https://openalex.org/W2588106419', 'https://openalex.org/W2619555472', 'https://openalex.org/W2756759389', 'https://openalex.org/W2884199436', 'https://openalex.org/W2896308479', 'https://openalex.org/W2936471496', 'https://openalex.org/W2948052564', 'https://openalex.org/W2959106297', 'https://openalex.org/W2962745321', 'https://openalex.org/W2963111155', 'https://openalex.org/W2963193951', 'https://openalex.org/W2963280373', 'https://openalex.org/W2963335411', 'https://openalex.org/W2963500916', 'https://openalex.org/W2963775737', 'https://openalex.org/W2964104405', 'https://openalex.org/W2964285138', 'https://openalex.org/W2969785171', 'https://openalex.org/W2972367370', 'https://openalex.org/W2981682151', 'https://openalex.org/W2985519010', 'https://openalex.org/W2996733840', 'https://openalex.org/W3034236938', 'https://openalex.org/W3036236753', 'https://openalex.org/W3042868174', 'https://openalex.org/W3048117237', 'https://openalex.org/W3146559140', 'https://openalex.org/W36509478', 'https://openalex.org/W560578122', 'https://openalex.org/W60815470'], 'related_works': ['https://openalex.org/W3104201235', 'https://openalex.org/W3103562678', 'https://openalex.org/W3100324632', 'https://openalex.org/W3099786644', 'https://openalex.org/W2587928680', 'https://openalex.org/W2084801638', 'https://openalex.org/W2068670608', 'https://openalex.org/W2026618383', 'https://openalex.org/W1978925383', 'https://openalex.org/W1965398255'], 'abstract_inverted_index': {'Open': [0], 'Calabi-Yau': [1, 5], 'manifolds': [2], 'and': [3], 'log': [4], 'varieties': [6], 'have': [7], 'been': [8], 'broadly': [9], 'studied': [10], 'over': [11], 'decades.': [12], 'Regarding': [13], 'them': [14], 'as': [15, 29, 41], '"semistable"': [16], 'objects,': [17], 'we': [18, 27, 76], 'propose': [19], 'to': [20, 35, 56], 'consider': [21], 'their': [22], 'good': [23], 'proper': [24], 'subclass,': [25], 'which': [26], 'regard': [28], 'certain': [30], 'poly-stable': [31], 'ones,': [32], 'morally': [33], 'corresponding': [34], 'semistable': [36], 'with': [37, 65], 'closed': [38], '(minimal)': [39], 'orbits}': [40], 'the': [42, 51, 57], 'classical': [43], 'analogue': [44], 'of': [45, 59, 72, 89], 'GIT.': [46], 'We': [47], 'partially': [48, 85], 'confirm': [49], 'that': [50], 'new': [52], 'polystability': [53], 'seems': [54], 'equivalent': [55], 'existence': [58], 'non-compact': [60], 'complete': [61], 'Ricci-flat': [62, 91], 'Kahler': [63], 'metrics': [64], 'small': [66], 'volume': [67], 'growths,': [68], 'notably': [69], 'many': [70], 'examples': [71], 'gravitational': [73], 'instantons.': [74], 'Also,': [75], 'prove': [77], 'some': [78], 'compactness': [79], 'or': [80], 'polystable': [81], 'reduction': [82], 'type': [83], 'results,': [84], 'motivated': [86], 'by': [87], 'bubbles': [88], 'compact': [90], 'metrics.': [92]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3089823710', 'counts_by_year': [{'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 2}], 'updated_date': '2024-12-12T20:55:23.030024', 'created_date': '2020-10-08'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
