{"id":"https://openalex.org/W7214700256","doi":"https://doi.org/10.48550/arxiv.2609.33679","title":"Full termination of MMP for klt pairs with big boundaries","display_name":"Full termination of MMP for klt pairs with big boundaries","publication_year":2026,"publication_date":"2026-09-27","ids":{"openalex":"https://openalex.org/W7214700256","doi":"https://doi.org/10.48550/arxiv.2609.33679"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.33679","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.33679","pdf_url":"https://arxiv.org/pdf/2609.33679","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/2609.33679","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037332134","display_name":"Kenta Hashizume","orcid":"https://orcid.org/0000-0002-2179-057X","observed_orcids":["https://orcid.org/0000-0002-2179-057X"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hashizume, Kenta","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5037332134"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9580000042915344,"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":0.9580000042915344,"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":0.0348999984562397,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.0006000000284984708,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/minimal-model-program","display_name":"minimal model program","score":0.8679999709129333},{"id":"https://openalex.org/keywords/termination","display_name":"termination","score":0.6439999938011169},{"id":"https://openalex.org/keywords/klt-pairs","display_name":"klt pairs","score":0.9309999942779541},{"id":"https://openalex.org/keywords/log-canonical-singularities","display_name":"log canonical singularities","score":0.5979999899864197},{"id":"https://openalex.org/keywords/birational-geometry","display_name":"birational geometry","score":0.6610000133514404}],"concepts":[{"id":"https://openalex.org/C109523444","wikidata":"https://www.wikidata.org/wiki/Q424216","display_name":"Matrix metalloproteinase","level":2,"score":0.3736000061035156},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37209999561309814},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.30140000581741333},{"id":"https://openalex.org/C70721500","wikidata":"https://www.wikidata.org/wiki/Q177005","display_name":"Computational biology","level":1,"score":0.27459999918937683},{"id":"https://openalex.org/C75684735","wikidata":"https://www.wikidata.org/wiki/Q858810","display_name":"Big data","level":2,"score":0.2736000120639801},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.26739999651908875},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2386000007390976},{"id":"https://openalex.org/C774472","wikidata":"https://www.wikidata.org/wiki/Q6760393","display_name":"Margin (machine learning)","level":2,"score":0.22769999504089355},{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.21819999814033508},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21690000593662262}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.33679","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.33679","pdf_url":"https://arxiv.org/pdf/2609.33679","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":"doi:10.48550/arxiv.2609.33679","doi":"https://doi.org/10.48550/arxiv.2609.33679","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.33679","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.33679","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.33679","pdf_url":"https://arxiv.org/pdf/2609.33679","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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214700256.pdf","grobid_xml":"https://content.openalex.org/works/W7214700256.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3204969046","https://openalex.org/W7171730263","https://openalex.org/W4405042721","https://openalex.org/W4405268951","https://openalex.org/W7125456532","https://openalex.org/W6945745421","https://openalex.org/W3112394192","https://openalex.org/W7123925455","https://openalex.org/W2777270689","https://openalex.org/W7151829398"],"abstract_inverted_index":{"We":[0,16],"prove":[1,18],"the":[2,6,19],"full":[3],"termination":[4],"of":[5,21],"minimal":[7],"model":[8],"program":[9],"for":[10],"klt":[11],"pairs":[12],"with":[13],"big":[14],"boundaries.":[15],"also":[17],"finiteness":[20],"marked":[22],"Mori":[23],"fiber":[24],"spaces.":[25]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-30T00:00:00"}