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ACC for minimal log discrepancies of exceptional singularities

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arxiv 1903.04338 v2 pith:XJK2ZIY6 submitted 2019-03-11 math.AG

Jingjun Han , Jihao Liu , V. V. Shokurov This is my paper · ORCID
classification math.AG
keywords coefficientscomplementsdiscrepanciesexceptionalexistenceminimalpairsprove
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abstract

We prove the existence of $n$-complements for pairs with DCC coefficients and the ACC for minimal log discrepancies of exceptional singularities. In order to prove these results, we develop the theory of complements for real coefficients. We introduce $(n,\Gamma_0)$-decomposable $\mathbb{R}$-complements, and show its existence for pairs with DCC coefficients.

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  1. Discreteness of volumes of divisors on Calabi-Yau type varieties

    math.AG 2025-08 conditional novelty 7.0 of 10

    Volumes of integral divisors on epsilon-lc Calabi-Yau pairs lie in a fixed discrete set, settling Birkar's boundedness conjecture for polarized log Calabi-Yau pairs.

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