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- W4302011512 abstract "For any fixed globally F-regular projective variety X over an algebraically closed field of positive characteristic, we study the F-signature of section rings of X with respect to the ample Cartier divisors on X. In particular, we define an F-signature function on the ample cone of X and show that it is locally Lipschitz continuous. We further prove that the F-signature function extends to the boundary of the ample cone. We also establish an effective comparison between the F-signature function and the volume function on the ample cone. As a consequence, we show that for divisors that are nef but not big, the extension of the F-signature is zero." @default.
- W4302011512 created "2022-10-06" @default.
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- W4302011512 date "2022-10-02" @default.
- W4302011512 modified "2023-09-27" @default.
- W4302011512 title "The F-signature Function on the Ample Cone" @default.
- W4302011512 doi "https://doi.org/10.48550/arxiv.2210.00566" @default.
- W4302011512 hasPublicationYear "2022" @default.
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