Mathematics – Algebraic Geometry
Scientific paper
2011-10-09
Mathematics
Algebraic Geometry
J. Eur. Math. Soc. (to appear)
Scientific paper
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.
Chen Meng
Zhang Qian
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