Publication Information

{'id': 'https://openalex.org/W2770095105', 'doi': 'https://doi.org/10.48550/arxiv.1207.4070', 'title': 'On the moduli part of the Kawamata-Kodaira canonical bundle formula', 'display_name': 'On the moduli part of the Kawamata-Kodaira canonical bundle formula', 'publication_year': 2012, 'publication_date': '2012-01-01', 'ids': {'openalex': 'https://openalex.org/W2770095105', 'doi': 'https://doi.org/10.48550/arxiv.1207.4070', 'mag': '2770095105'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1207.4070', '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/1207.4070', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5032259921', 'display_name': 'Caucher Birkar', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Caucher Birkar', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5100606724', 'display_name': 'Yifei Chen', 'orcid': 'https://orcid.org/0000-0002-3762-1252'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Yifei Chen', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 3, 'citation_normalized_percentile': {'value': 0.711542, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 75, 'max': 78}, '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': 0.9999, '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': 0.9999, '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': 0.9997, '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/T12351', 'display_name': 'Geometry and complex manifolds', '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/canonical-bundle', 'display_name': 'Canonical bundle', 'score': 0.5349089}, {'id': 'https://openalex.org/keywords/kodaira-dimension', 'display_name': 'Kodaira dimension', 'score': 0.49718192}], 'concepts': [{'id': 'https://openalex.org/C121089165', 'wikidata': 'https://www.wikidata.org/wiki/Q6889796', 'display_name': 'Moduli', 'level': 2, 'score': 0.60975426}, {'id': 'https://openalex.org/C2780399754', 'wikidata': 'https://www.wikidata.org/wiki/Q844128', 'display_name': 'Canonical bundle', 'level': 2, 'score': 0.5349089}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.52167916}, {'id': 'https://openalex.org/C2777969054', 'wikidata': 'https://www.wikidata.org/wiki/Q6425087', 'display_name': 'Kodaira dimension', 'level': 2, 'score': 0.49718192}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.47698098}, {'id': 'https://openalex.org/C2778134712', 'wikidata': 'https://www.wikidata.org/wiki/Q1047307', 'display_name': 'Bundle', 'level': 2, 'score': 0.4448813}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.29708648}, {'id': 'https://openalex.org/C192562407', 'wikidata': 'https://www.wikidata.org/wiki/Q228736', 'display_name': 'Materials science', 'level': 0, 'score': 0.17269921}, {'id': 'https://openalex.org/C159985019', 'wikidata': 'https://www.wikidata.org/wiki/Q181790', 'display_name': 'Composite material', 'level': 1, 'score': 0.08916378}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1207.4070', '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.1207.4070', '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/1207.4070', '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': 14, 'referenced_works': ['https://openalex.org/W1519804048', 'https://openalex.org/W1523746266', 'https://openalex.org/W1526967712', 'https://openalex.org/W1534028610', 'https://openalex.org/W1546031807', 'https://openalex.org/W1663036845', 'https://openalex.org/W1981413258', 'https://openalex.org/W1999555649', 'https://openalex.org/W2000996070', 'https://openalex.org/W2025138914', 'https://openalex.org/W2099716392', 'https://openalex.org/W2158129746', 'https://openalex.org/W2167289089', 'https://openalex.org/W2484465030'], 'related_works': ['https://openalex.org/W4309208295', 'https://openalex.org/W4299582626', 'https://openalex.org/W4291105217', 'https://openalex.org/W4252087730', 'https://openalex.org/W4249297937', 'https://openalex.org/W2963225823', 'https://openalex.org/W2950023509', 'https://openalex.org/W2758489738', 'https://openalex.org/W2161554702', 'https://openalex.org/W2054989080'], 'abstract_inverted_index': {'It': [0], 'is': [1, 20, 69, 83], 'conjectured': [2], 'that': [3, 92], 'the': [4, 8, 27, 35, 54, 96], 'moduli': [5, 36], 'b-divisor': [6, 37], 'of': [7, 29, 34, 50, 61, 74], 'Kawamata-Kodaira': [9], 'canonical': [10], 'bundle': [11], 'formula': [12], 'associated': [13], 'to': [14, 57, 90], 'a': [15, 39, 48, 59, 70], 'klt-trivial': [16], 'fibration': [17], '$(X,B)\\to': [18], 'Z$': [19, 68], 'semi-ample.': [21, 85], 'In': [22], 'this': [23, 93], 'paper,': [24], 'we': [25], 'show': [26, 91], 'semi-ampleness': [28], 'an': [30], 'arbitrarily': [31], 'small': [32], 'perturbation': [33], 'by': [38], 'fixed': [40], 'appropriate': [41], 'divisor': [42], 'which': [43], 'roughly': [44], 'speaking': [45], 'comes': [46], 'from': [47], 'section': [49], '$K_X+B$.': [51], 'We': [52, 86], 'apply': [53], 'above': [55], 'result': [56], 'settle': [58], 'conjecture': [60], 'Fujino': [62], 'and': [63], 'Gongyo:': [64], 'if': [65], '$f\\colon': [66], 'X\\to': [67], 'smooth': [71, 75], 'surjective': [72], 'morphism': [73], 'projective': [76], 'varieties': [77], 'with': [78], '$-K_X$': [79], 'semi-ample,': [80], 'then': [81], '$-K_Z$': [82], 'also': [84], 'list': [87], 'several': [88], 'counter-examples': [89], 'fails': [94], 'without': [95], 'smoothness': [97], 'assumption': [98], 'on': [99], '$f$.': [100]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2770095105', 'counts_by_year': [{'year': 2014, 'cited_by_count': 2}, {'year': 2013, 'cited_by_count': 1}], 'updated_date': '2024-12-11T03:07:31.005586', 'created_date': '2017-12-04'}