The tilting property for $F_{\ast }^e{\mathcal{O}}_X$ 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 $F_{\ast }^e{\mathcal{O}}_X$ of the structure sheaf are tilting b…