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- W3188469254 abstract "We show that the Bogomolov-Sommese vanishing theorem holds for a log canonical projective surface in large characteristic unless the Iitaka dimension of the round-down of the log canonical divisor is not equal to two. As an application, we prove that a log resolution of a pair of a normal projective surface and a reduced divisor in large characteristic lifts to the ring of Witt vectors when the Iitaka dimension of the log canonical divisor is less than or equal to zero. Moreover, we give explicit and optimal bounds on the characteristic unless their Iitaka dimensions are equal to zero." @default.
- W3188469254 created "2021-08-16" @default.
- W3188469254 creator A5013199081 @default.
- W3188469254 date "2021-08-08" @default.
- W3188469254 modified "2023-10-16" @default.
- W3188469254 title "Bogomolov-Sommese vanishing and liftability for surface pairs in positive characteristic" @default.
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- W3188469254 doi "https://doi.org/10.48550/arxiv.2108.03768" @default.
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