Vanishing theorems for threefolds in characteristic $p>5$

Abstract

We prove Grauert-Riemenschneider-type vanishing theorems for excellent dlt threefolds pairs whose closed points have perfect residue fields of positive characteristic $p>5$. Then we discuss applications to dlt singularities and to Mori fiber spaces of threefolds.

arXiv comment15 pages. v3: minor revisions. To appear in IMRN

References in corpus (4)

• The $p$-cyclic McKay correspondence via motivic integration
• On del Pezzo fibrations in positive characteristic
• The Minimal Model Program for threefolds in characteristic five
• Relative MMP without Q-factoriality

Cited by in corpus (2)

• Globally +-regular varieties and the minimal model program for threefolds in mixed characteristic
• Relative MMP without Q-factoriality