Transcendental Minimal Model Program for Projective Varieties

2024/12/10 by Das, Omprokash, Hacon, Christopher
#Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2412.07650

Abstract

In this article we prove that if (X,B+β) is a projective generalized klt pair such that B+β is big, then (X,B+β) admits a good Minimal Model or Mori fiber space. In particular, this implies Tossati's transcendental base-point-free conjecture for projective manifolds.

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