By Takagi S.
We introduce a brand new variation of tight closure and provides an interpretation of adjoint beliefs through this tight closure. As a corollary, we turn out log pair (X, Δ) is plt if and provided that the modulo p relief of (X, Δ) is divisorially F-regular for all huge p ≫ zero. the following, divisorially F-regular pairs are a category of singularities in optimistic attribute brought via Hara and Watanabe (J Algebra Geom 11:363-392, 2002) by way of Frobenius splitting.
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A characteristic p analogue of plt singularities and adjoint ideals by Takagi S.