On a question of Demailly-Peternell-Schneider

Meng Chen; Qi Zhang

Journal of the European Mathematical Society (2013)

  • Volume: 015, Issue: 5, page 1853-1858
  • ISSN: 1435-9855

Abstract

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We give an affirmative answer to an open question posed by Demailly-Peternell-Schneider in 2001 and recently by Peternell. Let f : X Y be a surjective morphism from a log canonical pair ( X , D ) onto a -Gorenstein variety Y . If - ( K X + D ) is nef, we show that K Y is pseudo-effective.

How to cite

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Chen, Meng, and Zhang, Qi. "On a question of Demailly-Peternell-Schneider." Journal of the European Mathematical Society 015.5 (2013): 1853-1858. <http://eudml.org/doc/277734>.

@article{Chen2013,
abstract = {We give an affirmative answer to an open question posed by Demailly-Peternell-Schneider in 2001 and recently by Peternell. Let $f:X\rightarrow Y$ 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.},
author = {Chen, Meng, Zhang, Qi},
journal = {Journal of the European Mathematical Society},
keywords = {pseudo-effective; weakly positive; anti-canonical divisor; pseudo-effective; weak positivity; anti-canonical divisor},
language = {eng},
number = {5},
pages = {1853-1858},
publisher = {European Mathematical Society Publishing House},
title = {On a question of Demailly-Peternell-Schneider},
url = {http://eudml.org/doc/277734},
volume = {015},
year = {2013},
}

TY - JOUR
AU - Chen, Meng
AU - Zhang, Qi
TI - On a question of Demailly-Peternell-Schneider
JO - Journal of the European Mathematical Society
PY - 2013
PB - European Mathematical Society Publishing House
VL - 015
IS - 5
SP - 1853
EP - 1858
AB - We give an affirmative answer to an open question posed by Demailly-Peternell-Schneider in 2001 and recently by Peternell. Let $f:X\rightarrow Y$ 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.
LA - eng
KW - pseudo-effective; weakly positive; anti-canonical divisor; pseudo-effective; weak positivity; anti-canonical divisor
UR - http://eudml.org/doc/277734
ER -

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