Güntürkün, Sema (2021) Boij–Söderberg decompositions of lexicographic ideals. Journal of Commutative Algebra, 13 (2). pp. 209-234. DOI https://doi.org/10.1216/jca.2021.13.209
Güntürkün, Sema (2021) Boij–Söderberg decompositions of lexicographic ideals. Journal of Commutative Algebra, 13 (2). pp. 209-234. DOI https://doi.org/10.1216/jca.2021.13.209
Güntürkün, Sema (2021) Boij–Söderberg decompositions of lexicographic ideals. Journal of Commutative Algebra, 13 (2). pp. 209-234. DOI https://doi.org/10.1216/jca.2021.13.209
Abstract
Boij–Söderberg theory describes the Betti diagrams of graded modules over a polynomial ring as a linear combination of pure diagrams with positive coefficients. In this paper, we focus on the Betti diagrams of lexicographic ideals. Mainly, we characterize the Boij–Söderberg decomposition of the Betti table of a lexicographic ideal in the polynomial ring with three variables, and show a nice connection between its Boij–Söderberg decomposition and the ones of other related lexicographic ideals.
Item Type: | Article |
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Uncontrolled Keywords: | Betti diagrams , Boij–Söderberg decompositions , lexicographic ideals |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematical Sciences, Department of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 21 Nov 2022 17:02 |
Last Modified: | 26 Nov 2022 00:20 |
URI: | http://repository.essex.ac.uk/id/eprint/33681 |
Available files
Filename: Boij-Soederberg_paper.pdf