Regularity bounds for twisted commutative algebras

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.

16 pages

References in corpus (4)

• Introduction to twisted commutative algebras
• GL-equivariant modules over polynomial rings in infinitely many variables. II
• Regularity of FI-modules and local cohomology
• Bounding the homology of FI-modules

Cited by in corpus (2)

• A note on projective dimension over twisted commutative algebras
• Asymptotic behaviors of representations of graded categories with inductive functors