Contraction theorem for generalized pairs

2022/11/19 by Xie, Lingyao
#14C20 #14E05 #14E30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2211.10800

Abstract

We use Kollár's gluing theory to prove the contraction theorem for generalized pairs. In particular, we show that we can run the MMP for any generalized log canonical pairs.

Related

• Vanishing theorems for generalized pairs
• Introduction to the log minimal model program for log canonical pairs
• Common fixed points for ψ-(α,β, m)-contraction pairs
• Fundamental theorems for semi log canonical pairs
• Effective base point free theorem for log canonical pairs--Kollár type theorem