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On a question of Demailly-Peternell-Schneider

Meng ChenQi Zhang — 2013

Journal of the European Mathematical Society

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.

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