A Tight Bound on the Projective Dimension of Four Quadrics
Commutative Algebra
2017-10-13 v3
Abstract
Motivated by Stillman's question, we show that the projective dimension of an ideal generated by four quadric forms in a polynomial ring is at most 6; moreover, this bound is tight. We achieve this bound, in part, by giving a characterization of the low degree generators of ideals primary to height three primes of multiplicities one and two.
Keywords
Cite
@article{arxiv.1403.6334,
title = {A Tight Bound on the Projective Dimension of Four Quadrics},
author = {Craig Huneke and Paolo Mantero and Jason McCullough and Alexandra Seceleanu},
journal= {arXiv preprint arXiv:1403.6334},
year = {2017}
}
Comments
34 pages (to appear in Journal of Pure and Applied Algebra)