Quantcast

On weak Zariski decompositions and termination of flips

Research paper by Christopher D. Hacon, Joaquín Moraga

Indexed on: 03 May '18Published on: 03 May '18Published in: arXiv - Mathematics - Algebraic Geometry



Abstract

We prove that termination of lower dimensional flips for generalized klt pairs implies termination of flips for log canonical generalized pairs with a weak Zariski decomposition. Moreover, we prove that the existence of weak Zariski decompositions for pseudo-effective generalized klt pairs implies the existence of minimal models for such pairs.