Remarks on the minimal model theory for log surfaces in the analytic setting

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1. Verfasser: Moriyama, Nao
Format: Preprint
Veröffentlicht: 2025
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author Moriyama, Nao
author_facet Moriyama, Nao
contents We discuss the relative log minimal model theory for log surfaces in the analytic setting. More precisely, we show that the minimal model program, the abundance theorem, and the finite generation of log canonical rings hold for log pairs of complex surfaces which are projective over complex analytic varieties.
format Preprint
id arxiv_https___arxiv_org_abs_2505_18055
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Remarks on the minimal model theory for log surfaces in the analytic setting
Moriyama, Nao
Algebraic Geometry
14E30, 32C15
We discuss the relative log minimal model theory for log surfaces in the analytic setting. More precisely, we show that the minimal model program, the abundance theorem, and the finite generation of log canonical rings hold for log pairs of complex surfaces which are projective over complex analytic varieties.
title Remarks on the minimal model theory for log surfaces in the analytic setting
topic Algebraic Geometry
14E30, 32C15
url https://arxiv.org/abs/2505.18055