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arXiv:math/0301031 [math.AG]AbstractReferencesReviewsResources

Representability of Aut_F and End_F

Niko Naumann

Published 2003-01-05Version 1

Recently N. Nitsure showed that for a coherent sheaf F on a noetherian scheme the automorphism functor Aut_F is representable if and only if F is locally free. Here we remove the noetherian hypothesis and show that the same result holds for the endomorphism functor End_F even if one asks for representability by an algebraic space.

Categories: math.AG
Subjects: 14A25
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