Gotzmann's persistence theorem for finite modules
Commutative Algebra
2017-11-07 v2 Algebraic Geometry
Abstract
We prove a generalization of Gotzmann's persistence theorem in the case of modules with constant Hilbert polynomial. As a consequence, we show that the defining equations that give the embedding of a Quot scheme of points into a Grassmannian are given by a single Fitting ideal.
Cite
@article{arxiv.1411.7940,
title = {Gotzmann's persistence theorem for finite modules},
author = {Gustav Sædén Ståhl},
journal= {arXiv preprint arXiv:1411.7940},
year = {2017}
}
Comments
13 pages; restructured the paper and clarified some proofs