Representability of Aut_F and End_F
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0301031,
title = {Representability of Aut_F and End_F},
author = {Niko Naumann},
journal= {arXiv preprint arXiv:math/0301031},
year = {2007}
}