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arXiv · 2404.06164

A counterexample to the PIA conjecture for minimal log discrepancies

Yusuke Nakamura·Kohsuke Shibata
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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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Yusuke Nakamura, Kohsuke Shibata. 2026-04-30. A counterexample to the PIA conjecture for minimal log discrepancies. https://arxiv.org/abs/2404.06164

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