English

Regularity bounds for twisted commutative algebras

Commutative Algebra 2020-04-28 v1 Representation Theory

Abstract

Let A be the twisted commutative algebra freely generated by d indeterminates of degree 1. We show that the regularity of an A-module can be bounded from the first floor(d^2/4) + 2 terms of its minimal free resolution. This extends results of Church and Ellenberg from the d=1 case.

Keywords

Cite

@article{arxiv.1704.01630,
  title  = {Regularity bounds for twisted commutative algebras},
  author = {Steven V Sam and Andrew Snowden},
  journal= {arXiv preprint arXiv:1704.01630},
  year   = {2020}
}

Comments

16 pages

R2 v1 2026-06-22T19:09:09.167Z