Rational combinations of Betti diagrams of complete intersections

Type of Work

Article

Date

5-16-2017

Journal Title

Journal of Algebra and Its Applications

Journal ISSN

0219-4988

Journal Volume

17

Journal Issue

05

DOI

10.1142/S0219498818500792

Abstract

We investigate decompositions of Betti diagrams over a polynomial ring within the framework of Boij–Söderberg theory. That is, given a Betti diagram, we determine if it is possible to decompose it into the Betti diagrams of complete intersections. To do so, we determine the extremal rays of the cone generated by the diagrams of complete intersections and provide a factorial time algorithm for decomposition.

Notes

This page links to a version of the paper posted at arXiv.org on April 4, 2017.

The article was published in: Journal of Algebra and Its Applications, vol. 17, no. 05 (2017. doi: 10.1142/S0219498818500792

Hamilton Areas of Study

Mathematics

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