An intriguing ring structure on the set of d-forms
Commutative Algebra
2013-08-29 v1
Abstract
The purpose of this note is to introduce a multiplication on the set of homogeneous polynomials of fixed degree d, in a way to provide a duality theory between monomial ideals of K[x_1,\ldots,x_d] generated in degrees \leq n and block stable ideals (a class of ideals containing the Borel fixed ones) of K[x_1,\ldots,x_n] generated in degree d. As a byproduct we give a new proof of the characterization of Betti tables of ideals with linear resolution given by Murai.
Cite
@article{arxiv.1308.6237,
title = {An intriguing ring structure on the set of d-forms},
author = {Jürgen Herzog and Leila Sharifan and Matteo Varbaro},
journal= {arXiv preprint arXiv:1308.6237},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1111.0442