Arvidsson, EmelieBernasconi, FabioLacini, Justin2022-07-042022-07-042022-07-042022-06-1310.1112/S0010437X22007394https://infoscience.epfl.ch/handle/20.500.14299/188918WOS:000809891300001We prove the Kawamata-Viehweg vanishing theorem for surfaces of del Pezzo type over perfect fields of positive characteristic p > 5. As a consequence, we show that klt threefold singularities over a perfect base field of characteristic p > 5 are rational. We show that these theorems are sharp by providing counterexamples in characteristic 5.Mathematicskodaira vanishinglog del pezzo surfaceskawamata log terminal singularitiespositive characteristicsingularitiesthreefoldsOn the Kawamata-Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristictext::journal::journal article::research article