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Remarks on the existence of minimal models of log canonical generalized pairs
- Publication Year :
- 2023
-
Abstract
- Given an NQC log canonical generalized pair $(X,B+M)$ whose underlying variety $X$ is not necessarily $\mathbb{Q}$-factorial, we show that one may run a $(K_X+B+M)$-MMP with scaling of an ample divisor which terminates, provided that $(X,B+M)$ has a minimal model in a weaker sense or that $K_X+B+M$ is not pseudo-effective. We also prove the existence of minimal models of pseudo-effective NQC log canonical generalized pairs under various additional assumptions, for instance, when the boundary contains an ample divisor.<br />Comment: v3: minor changes, following the referee's comments; to appear in Math. Z
- Subjects :
- Mathematics - Algebraic Geometry
14E30
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2301.09186
- Document Type :
- Working Paper