Bogomolov--Sommese type vanishing for globally $F$-regular threefolds

Abstract

In this paper, we show that every invertible subsheaf of the cotangent bundle of a smooth globally $F$-regular threefold of characteristic $p>3$ has Iitaka dimension less than or equal to one.

arXiv comment15 pages, to appear in Mathematische Zeitschrift

References in corpus (6)

• Differential Forms on Log Canonical Spaces
• Globally $F$-regular and log Fano varieties
• Families over special base manifolds and a conjecture of Campana
• The Minimal Model Program for threefolds in characteristic five
• Differential forms on log canonical spaces in positive characteristic
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Cited by in corpus (2)

• On Kawamata--Viehweg type vanishing for three dimensional Mori fiber spaces in positive characteristic
• Weak Akizuki-Nakano vanishing theorem for globally $F$-split 3-folds