Devlin Mallory

collaborators

3 papers

math.AG2025

Antiampleness and ampleness of the Frobenius cokernel

Devlin Mallory

We show that if $X$ is a smooth Fano variety containing a line or a conic with respect to $- K_{X}$ , then the Frobenius cokernel $\mathcal B_X:=\mathrm{coker}(\mathcal O_X\to F_* \mat…

math.AG2025

The tilting property for $F_{*}^{e} O_{X}$ on Fano surfaces and threefolds

Devlin Mallory

Let $X$ be a smooth variety over a field of characteristic $p$ . It is a natural question whether the Frobenius pushforwards $F_{*}^{e} O_{X}$ of the structure sheaf are tilting b…

math.AC2025

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…

Antiampleness and ampleness of the Frobenius cokernel

The tilting property for F∗e​OX​ on Fano surfaces and threefolds

Computing Direct Sum Decompositions

The tilting property for $F_{*}^{e} O_{X}$ on Fano surfaces and threefolds