19 citations · 24 across the 9 of their papers we have counts for
5 papers · 1 filter
The WittVectors package for Macaulay2
Anne Fayolle, Abhay Goel, Devlin Mallory +2
We implement a Macaulay2 package for computations involving rings of truncated Witt vectors of a finitely generated $\F_p$-algebra . This package includes ring operatio…
Computing Direct Sum Decompositions
Devlin Mallory, Mahrud Sayrafi
We describe and prove correctness of two practical algorithms for finding indecomposable summands of finitely generated modules over a finitely generated k-algebra R. The first alg…
Finite -representation type for homogeneous coordinate rings of non-Fano varieties
Devlin Mallory
Finite -representation type is an important notion in characteristic- commutative algebra, but explicit examples of varieties with or without this property are few. We prove…
Homogeneous coordinate rings as direct summands of regular rings
Devlin Mallory
We study the question of when a ring can be realized as a direct summand of a regular ring by examining the case of homogeneous coordinate rings. We present very strong obstacles t…
An explicit self-duality
Nikolas Kuhn, Devlin Mallory, Vaidehee Thatte +1
We provide an exposition of the canonical self-duality associated to a presentation of a finite, flat, complete intersection over a Noetherian ring, following work of Scheja and St…