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http://hdl.handle.net/1942/39944| Title: | The minimal model program for b-log canonical divisors and applications | Authors: | Chan, 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 |
Issue Date: | 2023 | Publisher: | SPRINGER HEIDELBERG | Source: | MATHEMATISCHE ZEITSCHRIFT, 303 (4) (Art N° 87) | Abstract: | We 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. | Notes: | Okawa, S (corresponding author), Osaka Univ, Grad Sch Sci, Dept Math, Osaka, Japan. danielc@unsw.edu.au; kenhchan@math.washington.edu; louis.dethanhofferdevolcsey@utoronto.ca; cingalls@math.carleton.ca; jabbusch@umich.edu; skovacs@uw.edu; kulkarni@math.msu.edu; blerner@gmail.com; bnanayakkara@brocku.ca; okawa@math.sci.osaka-u.ac.jp; michel.vandenbergh@uhasselt.be |
Keywords: | Primary 14E15;Secondary 16H10 | Document URI: | http://hdl.handle.net/1942/39944 | ISSN: | 0025-5874 | e-ISSN: | 1432-1823 | DOI: | 10.1007/s00209-023-03205-w | ISI #: | 000946284700001 | Rights: | © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023 | Category: | A1 | Type: | Journal Contribution |
| Appears in Collections: | Research publications |
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