Representability of Aut_F and End_F

Details Representability of Aut_F and End_F Representability of Aut_F and End_F

2003-01-05

arxiv.org/abs/math/0301031v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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