English

Bounded Complements for Weak Fano Pairs with Alpha-invariants and Volumes Bounded Below

Algebraic Geometry 2020-02-25 v1

Abstract

We show that fixed dimensional klt weak Fano pairs with alpha-invariants and volumes bounded away from 00 and the coefficients of the boundaries belonging to a fixed DCC set SS form a bounded family. Moreover, such pairs admit a strong ϵ\epsilon-lc R\mathbb{R}-complement for some fixed ϵ>0\epsilon>0.

Keywords

Cite

@article{arxiv.2002.09899,
  title  = {Bounded Complements for Weak Fano Pairs with Alpha-invariants and Volumes Bounded Below},
  author = {Weichung Chen},
  journal= {arXiv preprint arXiv:2002.09899},
  year   = {2020}
}