Boij-S\"{o}derberg Decompositions of Lex-segment Ideals
Commutative Algebra
2015-08-21 v2
Abstract
Boij-S\"oderberg theory describes the scalar multiples of Betti diagrams of graded modules over a polynomial ring as a linear combination of pure diagrams with positive coefficients. There are a few results that describe Boij-S\"oderberg decompositions explicitly. In this paper, we focus on the Betti diagrams of lex-segment ideals and describe the Boij-S\"oderberg decomposition of a lex-segment ideal in terms of Boij-S\"oderberg decompositions of some other related lex-segment ideals.
Keywords
Cite
@article{arxiv.1404.0118,
title = {Boij-S\"{o}derberg Decompositions of Lex-segment Ideals},
author = {Sema Gunturkun},
journal= {arXiv preprint arXiv:1404.0118},
year = {2015}
}
Comments
The proof of Theorem 1.2 is improved