19 citations · 24 across the 9 of their papers we have counts for
12 papers
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…
Antiampleness and ampleness of the Frobenius cokernel
Devlin Mallory
We show that if is a smooth Fano variety containing a line or a conic with respect to , then the Frobenius cokernel $\mathcal B_X:=\mathrm{coker}(\mathcal O_X\to F_* \mat…
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…
The tilting property for on Fano surfaces and threefolds
Devlin Mallory
Let be a smooth variety over a field of characteristic . It is a natural question whether the Frobenius pushforwards of the structure sheaf are tilting b…
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…