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arXiv · 1404.0118

Boij-S\"{o}derberg Decompositions of Lex-segment Ideals

Sema Gunturkun
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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.

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BibTeXRIS

Sema Gunturkun. 2014-04-01. Boij-S\"{o}derberg Decompositions of Lex-segment Ideals. https://arxiv.org/abs/1404.0118

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