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LOG CANONICAL SINGULARITIES ARE DU BOIS

Janós Kollár, Sándor, J Kovács

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Abstract

A recurring difficulty in the Minimal Model Program (MMP) is that while log terminal singularities are quite well behaved (for instance, they are rational), log canonical singularities are much more complicated; they need not even be Cohen-Macaulay. The aim of this paper is to prove that, as conjectured in [Kol92, 1.13], log canonical singularities are Du Bois. The

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What this paper is about

A recurring difficulty in the Minimal Model Program (MMP) is that while log terminal singularities are quite well behaved (for instance, they are rational), log canonical singularities are much more complicated; they need not even be Cohen-Macaulay. The aim of this paper is to prove that, as conjectured in [Kol92, 1.13], log canonical singularities are Du Bois. The

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OpenAlex reports 196 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A recurring difficulty in the Minimal Model Program (MMP) is that while log terminal singularities are quite well behaved (for instance, they are rational), log canonical singularities are much more complicated; they need not even be Cohen-Macaulay. The aim of this paper is to prove that, as conjectured in [Kol92, 1.13], log canonical singularities are Du Bois. The

Key concepts: Mathematics, Gravitational singularity, Pure mathematics, Flatness (cosmology), Moduli space, Cohomology, Mathematical analysis, Universe

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