On the Minimal Model Program for Kähler 3-folds

2023/06/20 by Das, Omprokash, Hacon, Christopher · 3 citations
#Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2306.11708

Abstract

In this article we prove the existence of pl-flipping and divisorial contractions and pl flips in dimension n for compact Kähler varieties, assuming results of the minimal model program in dimension n-1. We also give a self contained proof of the cone theorem, the existence of flipping and divisorial contractions, of flips and minimal models in dimension 3.

Cited by

• Deformation of nef adjoint canonical line bundles
• Beauville-Bogomolov decomposition for klt varieties
• Bott-Chern complexity of Kähler pairs

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