Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/39944
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dc.contributor.authorChan, Daniel-
dc.contributor.authorChan, Kenneth-
dc.contributor.authorde Volcsey, Louis de Thanhoffer-
dc.contributor.authorIngalls, Colin-
dc.contributor.authorJabbusch, Kelly-
dc.contributor.authorKovacs, Sandor J.-
dc.contributor.authorKulkarni, Rajesh-
dc.contributor.authorLerner, Boris-
dc.contributor.authorNanayakkara, Basil-
dc.contributor.authorOkawa, Shinnosuke-
dc.contributor.authorVAN DEN BERGH, Michel-
dc.date.accessioned2023-04-20T09:18:36Z-
dc.date.available2023-04-20T09:18:36Z-
dc.date.issued2023-
dc.date.submitted2023-04-04T15:13:35Z-
dc.identifier.citationMATHEMATISCHE ZEITSCHRIFT, 303 (4) (Art N° 87)-
dc.identifier.urihttp://hdl.handle.net/1942/39944-
dc.description.abstractWe discuss the minimal model program for b-log varieties, which is a pair of a variety and a b-divisor, as a natural generalization of the minimal model program for ordinary log varieties. We show that the main theorems of the log MMP work in the setting of the b-log MMP. If we assume that the log MMP terminates, then so does the b-log MMP. Furthermore, the b-log MMP includes both the log MMP and the equivariant MMP as special cases. There are various interesting b-log varieties arising from different objects, including the Brauer pairs, or "non-commutative algebraic varieties which are finite over their centres." The case of toric Brauer pairs is discussed in further detail.-
dc.description.sponsorshipThis paper is an outcome of the workshop ‘Mori program for Brauer pairs in dimension three’ held in 2014 at the American Institute of Mathematics. The authors are indebted to all the support from the institute and their hospitality. We also thank the anonymous referee for carefully reading the manuscript and providing us with many constructive comments. DC was partially supported by an ARC discovery project grant DP130100513. CI was partially supported by an NSERC Discovery grant. SJK was supported in part by NSF Grant DMS-1565352 and the Craig McKibben and Sarah Merner Endowed Professorship in Mathematics at the University of Washington. RK was partially supported by the National Science Foundation award DMS1305377. SO was partially supported by Grant-in-Aid for Scientific Research (No. 60646909, 16H05994, 16K13746, 16H02141, 16K13743, 16K13755, 16H06337) from JSPS and the Inamori Foundation.-
dc.language.isoen-
dc.publisherSPRINGER HEIDELBERG-
dc.rights© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023-
dc.subject.otherPrimary 14E15-
dc.subject.otherSecondary 16H10-
dc.titleThe minimal model program for b-log canonical divisors and applications-
dc.typeJournal Contribution-
dc.identifier.issue4-
dc.identifier.volume303-
local.format.pages29-
local.bibliographicCitation.jcatA1-
dc.description.notesOkawa, S (corresponding author), Osaka Univ, Grad Sch Sci, Dept Math, Osaka, Japan.-
dc.description.notesdanielc@unsw.edu.au; kenhchan@math.washington.edu;-
dc.description.noteslouis.dethanhofferdevolcsey@utoronto.ca; cingalls@math.carleton.ca;-
dc.description.notesjabbusch@umich.edu; skovacs@uw.edu; kulkarni@math.msu.edu;-
dc.description.notesblerner@gmail.com; bnanayakkara@brocku.ca; okawa@math.sci.osaka-u.ac.jp;-
dc.description.notesmichel.vandenbergh@uhasselt.be-
local.publisher.placeTIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY-
local.type.refereedRefereed-
local.type.specifiedArticle-
local.bibliographicCitation.artnr87-
dc.identifier.doi10.1007/s00209-023-03205-w-
dc.identifier.isi000946284700001-
local.provider.typewosris-
local.description.affiliation[Chan, Daniel; Lerner, Boris] UNSW, Sch Math & Stat, Dept Pure Math, Kensington, Australia.-
local.description.affiliation[Chan, Kenneth; Kovacs, Sandor J.] Univ Washington, Dept Math, Seattle, WA USA.-
local.description.affiliation[de Volcsey, Louis de Thanhoffer] Univ Toronto, Dept Math, Toronto, ON, Canada.-
local.description.affiliation[Ingalls, Colin] Carleton Univ, Sch Math & Stat, Ottawa, ON, Canada.-
local.description.affiliation[Jabbusch, Kelly] Univ Michigan Dearborn, Dept Math & Stat, Dearborn, MI USA.-
local.description.affiliation[Kulkarni, Rajesh] Michigan State Univ, Dept Math, E Lansing, MI USA.-
local.description.affiliation[Nanayakkara, Basil] Brock Univ, St Catharines, ON, Canada.-
local.description.affiliation[Okawa, Shinnosuke] Osaka Univ, Grad Sch Sci, Dept Math, Osaka, Japan.-
local.description.affiliation[Van den Bergh, Michel] Univ Hasselt, Diepenbeek, Belgium.-
local.uhasselt.internationalyes-
item.fulltextWith Fulltext-
item.accessRightsRestricted Access-
item.contributorChan, Daniel-
item.contributorChan, Kenneth-
item.contributorde Volcsey, Louis de Thanhoffer-
item.contributorIngalls, Colin-
item.contributorJabbusch, Kelly-
item.contributorKovacs, Sandor J.-
item.contributorKulkarni, Rajesh-
item.contributorLerner, Boris-
item.contributorNanayakkara, Basil-
item.contributorOkawa, Shinnosuke-
item.contributorVAN DEN BERGH, Michel-
item.fullcitationChan, Daniel; Chan, Kenneth; de Volcsey, Louis de Thanhoffer; Ingalls, Colin; Jabbusch, Kelly; Kovacs, Sandor J.; Kulkarni, Rajesh; Lerner, Boris; Nanayakkara, Basil; Okawa, Shinnosuke & VAN DEN BERGH, Michel (2023) The minimal model program for b-log canonical divisors and applications. In: MATHEMATISCHE ZEITSCHRIFT, 303 (4) (Art N° 87).-
crisitem.journal.issn0025-5874-
crisitem.journal.eissn1432-1823-
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