Weil Restriction and the Quot scheme
Algebraic Geometry
2012-10-11 v2
Abstract
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. 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.
Cite
@article{arxiv.1111.4814,
title = {Weil Restriction and the Quot scheme},
author = {Roy Mikael Skjelnes},
journal= {arXiv preprint arXiv:1111.4814},
year = {2012}
}
Comments
In the previous version the section about \'etaleness was wrong. Moreover, several statements about non-commutative rings were imprecise, unclear if not false. In this version we have rewritten the section concerning \'etaleness, and we have corrected statements concerning non-commutative rings