REPRESENTABILITY OF Aut F AND End F

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چکیده

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Representability of Aut F and End F 1 Statement of Results

Recently N. Nitsure showed that for a coherent sheaf F on a noetherian scheme the automorphism functor AutF 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 EndF even if one asks for representability by an algebraic space.

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ژورنال

عنوان ژورنال: Communications in Algebra

سال: 2005

ISSN: 0092-7872,1532-4125

DOI: 10.1081/agb-200065138