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 e-prints
- Pub Date:
- November 2014
- DOI:
- 10.48550/arXiv.1411.7940
- arXiv:
- arXiv:1411.7940
- Bibcode:
- 2014arXiv1411.7940S
- Keywords:
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- Mathematics - Commutative Algebra;
- Mathematics - Algebraic Geometry;
- 13D40;
- 14C05
- E-Print:
- 13 pages