8 citations · 11 across the 11 of their papers we have counts for
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math.AC2020
-rationality of two-dimensional graded rings with a rational singularity
Kohsuke Shibata
It is known that a two-dimensional -rational ring has a rational singularity. However a two-dimensional ring with a rational singularity is not -rational in general. In this…
math.AG2020★ 8 cited
Inversion of adjunction for quotient singularities
Yusuke Nakamura, Kohsuke Shibata
We prove the precise inversion of adjunction formula for quotient singularities and klt Cartier divisors. As an application, we prove the semi-continuity of minimal log discrepanci…
math.AG2020
Characterization of two-dimensional semi-log canonical hypersurfaces in arbitrary characteristic
Kohsuke Shibata
In this paper we characterize two-dimensional semi-log canonical hypersurfaces in arbitrary characteristic from the viewpoint of the initial term of the defining equation. As an ap…