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We prove Grauert-Riemenschneider-type vanishing theorems for excellent divisiorally log terminal threefolds pairs whose closed points have perfect residue fields of positive characteristic p > 5. Then we discuss applications to dlt singularities and to Mori fiber spaces of three-folds.
Simone Deparis, Roland John Tormey, Cécile Hardebolle, Alexandra Corina Niculescu