A. Levins

collaborators

3 papers

math.AC2024

Bass Numbers of the First Nonzero Local Cohomology Module

Andrew J. Soto Levins

Let $R$ be a regular local ring containing a field, let $I$ be an ideal with $d = ht I$ , and assume $ht p = d$ for every minimal prime $p$ of $I$ . We compute the Bass n…

math.AC2024

The Auslander Bound for Complexes

Andrew J. Soto Levins

If a module $M$ has finite projective dimension, then the Ext modules of $M$ against any other module eventually vanish and the projective dimension of $M$ gives a uniform bound fo…

math.AC2022

A Rigidity Theorem for Ext

Andrew Soto Levins

The goal of this paper is to show that if $R$ is an unramified hypersurface, if $M$ and $N$ are finitely generated $R$ modules, and if $Ext_{R}^{n} (M, N) = 0$ for some…