The paper proves degree-one Grauert-Riemenschneider vanishing for Cohen-Macaulay klt-type schemes and, in dimension three, full GR vanishing and rational singularities.
Kawamata- V iehweg vanishing fails for log del P ezzo surfaces in characteristic 3
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On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type
The paper proves degree-one Grauert-Riemenschneider vanishing for Cohen-Macaulay klt-type schemes and, in dimension three, full GR vanishing and rational singularities.