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math.AGNov 1, 2020
8
citations (OpenAlex)
authors
  • Yusuke Nakamura
  • Kohsuke Shibata
arXiv abstractPDF
paper

Inversion of adjunction for quotient singularities

arXiv:2011.07300 · doi:10.14231/AG-2022-007

Abstract

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 hyperquotient singularities.

arXiv comment38 pages. To appear in Algebraic Geometry

References in corpus (9)

  • Germs of arcs on singular algebraic varieties and motivic integration
  • Twisted jets, motivic measure and orbifold cohomology
  • Jet schemes, log discrepancies and Inversion of Adjunction
  • ACC for minimal log discrepancies of exceptional singularities
  • On minimal log discrepancies on varieties with fixed Gorenstein index
  • Mass formulas for local Galois representations and quotient singularities I: a comparison of counting functions
  • On semi-continuity problems for minimal log discrepancies
  • Wilder McKay correspondences
  • Small quotient minimal log discrepancies

Cited by in corpus (3)

  • Birational boundedness of rationally connected Calabi-Yau 3-folds
  • On termination of flips and exceptionally non-canonical singularities
  • Complements, index theorem, and minimal log discrepancies of foliated surface singularities
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