2 citations · 2 across the 5 of their papers we have counts for
6 papers · 1 filter
A non-klt counterexample to Shokurov's index conjecture
Yusuke Nakamura, Kohsuke Shibata
We give a counterexample to Shokurov's index conjecture for minimal log discrepancies in the non-klt setting.
A characterization of virtually free actions via arc spaces and its application to the lower semi-continuity conjecture
Yusuke Nakamura, Kohsuke Shibata
In this paper, we study the precise inversion of adjunction (PIA) conjecture and the lower semi-continuity (LSC) conjecture for hyperquotient singularities. Previously known result…
A counterexample to the PIA conjecture for minimal log discrepancies
Yusuke Nakamura, Kohsuke Shibata
We give a counterexample to the PIA (precise inversion of adjunction) conjecture for minimal log discrepancies. We also give a counterexample to the LSC conjecture for families.
Inversion of adjunction for quotient singularities III: semi-invariant case
Yusuke Nakamura, Kohsuke Shibata
We prove the precise inversion of adjunction formula for finite linear group quotients of complete intersection varieties defined by semi-invariant equations. As an application, we…
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…
Minimal log discrepancies in positive characteristic
Kohsuke Shibata
We show the existence of prime divisors computing minimal log discrepancies in positive characteristic except for a special case. Moreover we prove the lower semicontinuity of mini…