STRONG (δ, n)-COMPLEMENTS FOR SEMI-STABLE MORPHISMS

被引：0

作者：

Filipazzi, Stefano ^{[1
]}

Moraga, Joaquin ^{[2
]}

机构：

[1] Univ Calif Los Angeles, Math Dept, Box 951555, Los Angeles, CA 90095 USA

[2] Princeton Univ, Dept Math, Fine Hall, Princeton, NJ 08544 USA

来源：

DOCUMENTA MATHEMATICA | 2020年 / 25卷

关键词：

Complements; Fano-type varieties; LOG; BOUNDEDNESS; EXISTENCE; THEOREM; PAIRS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the boundedness of global strong (delta, n)-complements for generalized epsilon-log canonical pairs of Fano-type. We also prove some partial results towards boundedness of local strong (delta, n)-complements for semi-stable morphisms. As applications, we prove an effective generalized canonical bundle formula for generalized klt pairs and an effective generalized adjunction formula for exceptional generalized log canonical centers. Moreover, we prove that the existence of strong (delta, n)-complements implies a conjecture due to McKernan concerning the singularities of the base of a Mori fiber space.

引用

页码：1953 / 1996

页数：44