By Takagi S.
We introduce a brand new version of tight closure and provides an interpretation of adjoint beliefs through this tight closure. As a corollary, we end up log pair (X, Δ) is plt if and provided that the modulo p aid of (X, Δ) is divisorially F-regular for all huge p ≫ zero. right here, divisorially F-regular pairs are a category of singularities in optimistic attribute brought by means of Hara and Watanabe (J Algebra Geom 11:363-392, 2002) when it comes to Frobenius splitting.
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