Complete intersections with given Hilbert polynomials
Commutative Algebra
2018-08-22 v2
Abstract
The Hilbert polynomial of a homogeneous complete intersection is determined by the degrees of the generators of the defining ideal. The degrees of the generators are not, in general, determined by the Hilbert polynomial -- but sometimes they are. When? We give some general criteria and completely answer the question up to codimension 6.
Keywords
Cite
@article{arxiv.1712.05886,
title = {Complete intersections with given Hilbert polynomials},
author = {Christopher Eur and Sung Hyun Lim},
journal= {arXiv preprint arXiv:1712.05886},
year = {2018}
}
Comments
10 pages, minor revisions