Introduces arc-space characterization of virtually free actions to prove LSC conjecture for arbitrary hyperquotient singularities.
A counterexample to the PIA conjecture for minimal log discrepancies
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abstract
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.
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math.AG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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A characterization of virtually free actions via arc spaces and its application to the lower semi-continuity conjecture
Introduces arc-space characterization of virtually free actions to prove LSC conjecture for arbitrary hyperquotient singularities.