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VOL. 74 | 2017 Relative adjoint transcendental classes and Albanese map of compact Kähler manifolds with nef Ricci curvature
Mihai Păun

Editor(s) Keiji Oguiso, Caucher Birkar, Shihoko Ishii, Shigeharu Takayama

Abstract

We establish here the surjectivity of the Albanese map corresponding to compact Kähler 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 Kähler fiber spaces, obtained via the “psh variation” of fiber-wise twisted Kähler-Einstein metrics.

Information

Published: 1 January 2017
First available in Project Euclid: 23 October 2018

zbMATH: 1392.32010

Digital Object Identifier: 10.2969/aspm/07410335

Subjects:
Primary: 14Dxx, 32Gxx

Rights: Copyright © 2017 Mathematical Society of Japan

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