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On a question of Demailly-Peternell-Schneider
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 be a surjective morphism from a log canonical pair (X,D)
onto a -Gorenstein variety . If is nef, we show that
is pseudo-effective.Comment: J. Eur. Math. Soc. (to appear), minor corrections to some misleading
misprint
Jordan property for non-linear algebraic groups and projective varieties
A century ago, Camille Jordan proved that the complex general linear group
has the Jordan property: there is a Jordan constant such that
every finite subgroup has an abelian subgroup of index
. We show that every connected algebraic group (which is
not necessarily linear) has the Jordan property with the Jordan constant
depending only on , and that the full automorphism group of
every projective variety has the Jordan propertyComment: American Journal of Mathematics (to appear); minor change
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