%0 Journal Article
%T Explicitly Extending Frobenius Splittings over Finite Maps
%A Karl Schwede
%A Kevin Tucker
%J Mathematics
%D 2012
%I arXiv
%X Suppose that $\pi \: Y \to X$ is a finite map of normal varieties over a perfect field of characteristic $p > 0$. Previous work of the authors gave a criterion for when Frobenius splittings on $X$ (or more generally any $p^{-e}$-linear map) extend to $Y$. In this paper we give an alternate and highly explicit proof of this criterion (checking term by term) when $\pi$ is tamely ramified in codimension 1. Some additional examples are also explored.
%U http://arxiv.org/abs/1201.5973v1