Devlin Mallory

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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…

Antiampleness and ampleness of the Frobenius cokernel

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

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