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- W4288804592 abstract "Let $(X, B)$ be a pair of a normal variety over a perfect field of positive characteristic and a reduced divisor. We prove that if the Cartier isomorphism extends from the log smooth locus of $(X,B)$ to the entire $X$, then $(X,B)$ satisfies the logarithmic extension theorem for differential forms. As an application, we show that the logarithmic extension theorem holds for a good quotient by a linearly reductive group. In addition, the logarithmic extension theorem for one-forms holds for singularities of higher codimension under assumptions about Serre's condition. We also prove that a tame quotient satisfies the regular extension theorem." @default.
- W4288804592 created "2022-07-30" @default.
- W4288804592 creator A5013199081 @default.
- W4288804592 date "2022-07-28" @default.
- W4288804592 modified "2023-10-16" @default.
- W4288804592 title "Extendability of differential forms via Cartier operators" @default.
- W4288804592 doi "https://doi.org/10.48550/arxiv.2207.13967" @default.
- W4288804592 hasPublicationYear "2022" @default.
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