# Minimal log discrepancies in positive characteristic

@article{Shibata2021MinimalLD, title={Minimal log discrepancies in positive characteristic}, author={Kohsuke Shibata}, journal={Communications in Algebra}, year={2021}, volume={50}, pages={571 - 582} }

Abstract 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 minimal log discrepancies for smooth varieties in positive characteristic if the exponent of an ideal is less than the log canonical threshold of the ideal.

## 2 Citations

Inversion of adjunction for quotient singularities

- MathematicsAlgebraic Geometry
- 2022

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 discrepancies for klt…

Divisors computing minimal log discrepancies on lc surfaces

- Mathematics
- 2021

Let (X ∋ x,B) be an lc surface germ. If X ∋ x is klt, we show that there exists a divisor computing the minimal log discrepancy of (X ∋ x,B) that is a Kollár component of X ∋ x. If B 6= 0 or X ∋ x is…

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