{"id":"https://openalex.org/W2139137601","doi":"https://doi.org/10.48550/arxiv.math/0311139","title":"Log Crepant Birational Maps and Derived Categories","display_name":"Log Crepant Birational Maps and Derived Categories","publication_year":2003,"publication_date":"2003-11-10","ids":{"openalex":"https://openalex.org/W2139137601","doi":"https://doi.org/10.48550/arxiv.math/0311139","mag":"2139137601"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:math/0311139","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0311139","pdf_url":"https://arxiv.org/pdf/math/0311139","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/math/0311139","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071187442","display_name":"Y\u016bjir\u014d Kawamata","orcid":"https://orcid.org/0009-0003-0450-6607","observed_orcids":["https://orcid.org/0009-0003-0450-6607"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kawamata, Yujiro","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5071187442"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":62,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"2","first_page":"211","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9897000193595886,"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":0.9897000193595886,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.0031999999191612005,"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":0.0024999999441206455,"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/derived-equivalence","display_name":"derived equivalence","score":0.8849999904632568},{"id":"https://openalex.org/keywords/derived-categories","display_name":"derived categories","score":0.6959999799728394},{"id":"https://openalex.org/keywords/toric-varieties","display_name":"toric varieties","score":0.7329999804496765},{"id":"https://openalex.org/keywords/log-pairs","display_name":"log pairs","score":0.4129999876022339},{"id":"https://openalex.org/keywords/birational-geometry","display_name":"birational geometry","score":0.7870000004768372}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49204108119010925},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32726696133613586},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.32525554299354553}],"mesh":[],"locations_count":7,"locations":[{"id":"pmh:oai:arXiv.org:math/0311139","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0311139","pdf_url":"https://arxiv.org/pdf/math/0311139","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:irdb.nii.ac.jp:00926:0004644647","doi":null,"is_oa":true,"landing_page_url":"https://repository.dl.itc.u-tokyo.ac.jp/records/40135","pdf_url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40135/files/jms120204.pdf","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of mathematical sciences, the University of Tokyo","raw_type":"departmental bulletin paper"},{"id":"pmh:oai:irdb.nii.ac.jp:01221:0000170859","doi":null,"is_oa":true,"landing_page_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/3ae878f7-4602-4388-b2c1-f1509c51a0af/download","pdf_url":"https://repository.kulib.kyoto-u.ac.jp/bitstreams/3ae878f7-4602-4388-b2c1-f1509c51a0af/download","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"\u4ee3\u6570\u5e7e\u4f55\u5b66\u30b7\u30f3\u30dd\u30b8\u30e5\u30fc\u30e0\u8a18\u9332","raw_type":"departmental bulletin paper"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.236.4514","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.236.4514","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0311139v2.pdf","raw_type":"text"},{"id":"pmh:oai:repository.kulib.kyoto-u.ac.jp:2433/214781","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/2433/214781","pdf_url":null,"source":{"id":"https://openalex.org/S4306401454","display_name":"Kyoto University Research Information Repository (Kyoto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I22299242","host_organization_name":"Kyoto University","host_organization_lineage":["https://openalex.org/I22299242"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"departmental bulletin paper"},{"id":"doi:10.48550/arxiv.math/0311139","doi":"https://doi.org/10.48550/arxiv.math/0311139","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.math/0311139","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"mag:2139137601","doi":null,"is_oa":false,"landing_page_url":"https://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/214781/1/2003-07.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S1026023296","display_name":"Journal of mathematical sciences","issn_l":"1340-5705","issn":["1340-5705"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","poland-100","russia-white-list-4"],"host_organization":"https://openalex.org/P4310313595","host_organization_name":"University of Tokyo","host_organization_lineage":["https://openalex.org/P4310313595"],"host_organization_lineage_names":["University of Tokyo"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Journal of mathematical sciences","raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:math/0311139","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0311139","pdf_url":"https://arxiv.org/pdf/math/0311139","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1787297271","https://openalex.org/W1788750319","https://openalex.org/W1985584270","https://openalex.org/W2089671343","https://openalex.org/W2326857801","https://openalex.org/W2477189904"],"related_works":["https://openalex.org/W2156018287","https://openalex.org/W3103886628","https://openalex.org/W2082666973","https://openalex.org/W2001377460","https://openalex.org/W1788750319","https://openalex.org/W2133314243","https://openalex.org/W2072768667","https://openalex.org/W2144392866","https://openalex.org/W2035259373","https://openalex.org/W2010462422","https://openalex.org/W1521877949","https://openalex.org/W2962981679","https://openalex.org/W2592750954","https://openalex.org/W2061271296","https://openalex.org/W1649458516","https://openalex.org/W1562477161","https://openalex.org/W2949910177","https://openalex.org/W2056381429","https://openalex.org/W2030024894","https://openalex.org/W2001311331"],"abstract_inverted_index":{"We":[0],"extend":[1],"the":[2,5,11,18],"conjecture":[3],"on":[4],"derived":[6],"equivalence":[7],"and":[8,14],"K-equivalence":[9],"to":[10],"logarithmic":[12],"case":[13],"prove":[15],"it":[16],"in":[17],"toric":[19],"case.":[20]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}