Local vanishing for toric varieties

Wanchun Shen, Sridhar Venkatesh, Anh Duc Vo

Let $X$ be a toric variety. We establish vanishing (and non-vanishing) results for the sheaves $R^i{f}_{\ast }\hat{I}{\text{c◯}}_{\tilde{X}}^p(\log E)$, where $f:\tilde{X}\to X$ is a strong log resolutio…