On a question of Demailly-Peternell-Schneider
Journal of the European Mathematical Society, Tome 15 (2013) no. 5, pp. 1853-1858.

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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 Q-Gorenstein variety Y. If −(KX​+D) is nef, we show that −KY​ is pseudo-effective.
DOI : 10.4171/jems/406
Classification : 14-XX, 00-XX
Keywords: pseudo-effective, weakly positive, anti-canonical divisor
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Meng Chen; Qi Zhang. On a question of Demailly-Peternell-Schneider. Journal of the European Mathematical Society, Tome 15 (2013) no. 5, pp. 1853-1858. doi : 10.4171/jems/406. http://geodesic.mathdoc.fr/articles/10.4171/jems/406/

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