8 citations · 11 across the 11 of their papers we have counts for
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math.AG2019★ 2 cited
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…
math.AC2019
Bounds of the multiplicity of abelian quotient complete intersection singularities
Kohsuke Shibata
In this paper, we investigate the multiplicities and the log canonical thresholds of abelian quotient complete intersection singularities in term of the special datum. Moreover we…
math.AC2019
The core of a module and the adjoint of an ideal over a two dimensional regular local ring
Kohsuke Shibata
The core of an module is the intersection of all its reductions. The main result asserts that the core of a finitely generated, torsion-free, integrally closed module over a two di…