A local version of the Kawamata-Viehweg vanishing theorem
J\'anos Koll\'ar (Princeton Univ)
TL;DR
This paper presents a criterion for when a divisorial sheaf on a log terminal variety is Cohen-Macaulay, with extensions to log canonical cases and applications in moduli theory.
Contribution
It introduces a local criterion for Cohen-Macaulayness of divisorial sheaves on log terminal varieties, expanding the understanding of their properties.
Findings
Criterion for Cohen-Macaulayness on log terminal varieties
Extension to log canonical cases
Applications to moduli spaces
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.
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