Rational combinations of Betti diagrams of complete intersections-Reference-Cited by-同舟云学术

Rational combinations of Betti diagrams of complete intersections

Published:2018-04-26 Issue:05 Volume:17 Page:1850079
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Annunziata Michael T.¹,Gibbons Courtney R.²,Hawkins Cole³,Sutherland Alexander J.⁴

Affiliation:

1. Wake Forest University, 2866 Quincy Drive, Winston-Salem, NC 27106, USA

2. Department of Mathematics, Hamilton College, 198 College Hill Road, Clinton, NY 13323, USA

3. Amherst College, Amherst, MA 01002, USA

4. Oberlin College, Oberlin, OH 44074, USA

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498818500792

Reference7 articles.

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