On a question of Demailly-Peternell-Schneider

Meng Chen; Qi Zhang

On a question of Demailly-Peternell-Schneider

Algebraic Geometry 2012-08-03 v3 Complex Variables

Authors: Meng Chen , Qi Zhang

Abstract

This note aims to give an affirmative answer to an open question posed by Demailly-Peternell-Schneider [DPS] in 2001 and recently by Peternell [P] again. Let $f:X\mapsto Y$ be a surjective morphism from a log canonical pair (X,D) onto a ${\mathbb Q}$ -Gorenstein variety $Y$ . If $-(K_X+D)$ is nef, we show that $-K_Y$ is pseudo-effective.

Keywords

log canonical pair nef pseudo-effective Q-Gorenstein variety surjective morphism

Cite

@article{arxiv.1110.1824,
  title  = {On a question of Demailly-Peternell-Schneider},
  author = {Meng Chen and Qi Zhang},
  journal= {arXiv preprint arXiv:1110.1824},
  year   = {2012}
}

Comments

J. Eur. Math. Soc. (to appear), minor corrections to some misleading misprints

Related papers

View all related →