Weil Restriction and the Quot scheme

Details Weil Restriction and the Quot scheme Weil Restriction and the Quot scheme

2011-11-21

arxiv.org/abs/1111.4814v1

Mathematics

Algebraic Geometry

Scientific paper

We introduce a concept that we call module restriction, which generalizes the classical Weil restriction. We first establish some fundamental properties, as existence and \'etaleness of the module restriction. Then we apply our results to show that Grothendiecks Quot functor parameterizing finite and flat quotients of a given quasi-coherent sheaf on a separated algebraic space, is representable.

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