A tight bound on the projective dimension of four quadrics

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 he...

Full description

Saved in:
Bibliographic Details
Published in:Journal of pure and applied algebra 2018-09, Vol.222 (9), p.2524-2551
Main Authors: Huneke, Craig, Mantero, Paolo, McCullough, Jason, Seceleanu, Alexandra
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2017.10.005