Gotzmann's persistence theorem for finite modules
arXiv:1411.7940 · doi:10.1016/j.jalgebra.2017.01.013
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.
13 pages; restructured the paper and clarified some proofs