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Bibliographic Details
Main Authors: Sam, Steven V, Snowden, Andrew
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2207.05860
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Table of Contents:
  • Let $M$ be a finitely generated module over a free twisted commutative algebra $A$ that is finitely generated in degree one. We show that the projective dimension of $M({\bf C}^n)$ as an $A({\bf C}^n)$-module is eventually linear as a function of $n$. This confirms a conjecture of Le, Nagel, Nguyen, and Römer for a special class of modules.