Conjectures and Computations about Veronese Syzygies

Juliette Bruce, Daniel Erman, Steve Goldstein, Jay Yang

Research output: Contribution to journalArticlepeer-review

Abstract

We formulate several conjectures which shed light on the structure of Veronese syzygies of projective spaces. These conjectures are motivated by experimental data that we derived from a high-speed high-throughput computation of multigraded Betti numbers based on numerical linear algebra.

Original languageEnglish (US)
Pages (from-to)398-413
Number of pages16
JournalExperimental Mathematics
Volume29
Issue number4
DOIs
StatePublished - Dec 1 2020

Bibliographical note

Funding Information:
JB received support from the NSF GRFP under grant DGE-1256259, and from the Graduate School and the Office of the Vice Chancellor for Research and Graduate Education at the University of Wisconsin-Madison with funding from the Wisconsin Alumni Research Foundation. DE received support from NSF grant DMS-1601619. JY received support from NSF grant DMS-1502553.

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