A counterexample to the PIA conjecture for minimal log discrepancies
arXiv:2404.06164
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.
14 pages. In v3, the paper is streamlined by introducing a new concept called "virtually free action". To appear in Duke Math. J