A local version of the Kawamata-Viehweg vanishing theorem

2010/05/26 by Kollár, János · 2 citations
#14B15 #14F17 #14J17 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1005.4843

Abstract

We give a criterion for a divisorial sheaf on a log terminal variety to be Cohen-Macaulay. The log canonical case and applications to moduli are also considered.

Cited by

• On Kawamata-Viehweg Vanishing for Surfaces of del Pezzo type over imperfect fields
• Effective positivity of Hodge bundles and applications

Related

• Kawamata-Viehweg vanishing fails for log del Pezzo surfaces in characteristic 3
• Vanishing and a counterexample for Witt divisorial sheaves
• On Kawamata-Viehweg Vanishing for Surfaces of del Pezzo type over imperfect fields
• Structure theorem for log de Rham-Witt sheaves with vanishing
• A vanishing theorem for log canonical pairs