A positive characteristic Steenbrink vanishing theorem is proved for rational singularities, giving the vanishing for strongly F-regular threefolds and Q-factorial klt threefolds in large characteristic.
Vanishing of the higher direct images of the structure sheaf
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On Steenbrink vanishing for rational singularities in positive characteristic
A positive characteristic Steenbrink vanishing theorem is proved for rational singularities, giving the vanishing for strongly F-regular threefolds and Q-factorial klt threefolds in large characteristic.