Gotzmann's persistence theorem for finite modules
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.
 Publication:

arXiv eprints
 Pub Date:
 November 2014
 DOI:
 10.48550/arXiv.1411.7940
 arXiv:
 arXiv:1411.7940
 Bibcode:
 2014arXiv1411.7940S
 Keywords:

 Mathematics  Commutative Algebra;
 Mathematics  Algebraic Geometry;
 13D40;
 14C05
 EPrint:
 13 pages