The minimal model program for b-log canonical divisors and applications
Algebraic Geometry
2017-07-06 v2
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.
Keywords
Cite
@article{arxiv.1707.00834,
title = {The minimal model program for b-log canonical divisors and applications},
author = {Daniel Chan and Kenneth Chan and Louis de Thanhoffer de Völcsey and Colin Ingalls and Kelly Jabbusch and Sándor J Kovács and Rajesh Kulkarni and Boris Lerner and Basil Nanayakkara and Shinnosuke Okawa and Michel Van den Bergh},
journal= {arXiv preprint arXiv:1707.00834},
year = {2017}
}
Comments
Fixed spelling mistake in one author's name