Transcendental Minimal Model Program for Projective Varieties

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.