Weak Akizuki–Nakano vanishing theorem for singular globally F-split 3-folds
摘要
In this paper, we prove that a weak form of the Akizuki–Nakano vanishing theorem holds on singular globally F-split 3-folds. Making use of this vanishing theorem, we study deformations of globally F-split Fano 3-folds and the Kodaira vanishing theorem for thickenings of locally complete intersection globally F-regular 3-folds.