Relative adjoint transcendental classes and Albanese map of compact Kahler manifolds with nef Ricci curvature

被引：0

作者：

Paun, Mihai ^{[1
]}

机构：

[1] Korea Inst Adv Study, Sch Math, 85 Hoegiro, Seoul 130722, South Korea

来源：

HIGHER DIMENSIONAL ALGEBRAIC GEOMETRY IN HONOUR OF PROFESSOR YUJIRO KAWAMATA'S SIXTIETH BIRTHDAY | 2017年 / 74卷

关键词：

Albanese map; Kahler manifolds; relative canonical bundle; extension theorems;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish here the surjectivity of the Albanese map corresponding to compact Kahler manifold whose anti-canonical bundle is nef. This answers a question raised by J.-P. Demailly, Th. Peternell and M. Schneider. One of the main techniques we are using is the positivity of the relative canonical bundle associated to Kahler fiber spaces, obtained via the "psh variation" of fiber-wise twisted Kahler-Einstein metrics.

引用

页码：335 / 356

页数：22

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