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arxiv: math/9806067 · v1 · submitted 1998-06-11 · 🧮 math.AG

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The locus of log canonical singularities

Florin Ambro
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classification 🧮 math.AG
keywords locuscanonicalsingularitiesbaseessentialfreenessfundamentalingredient
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The LCS locus is an essential ingredient in the proof of fundamental results of Log Minimal Model Program, such as nonvanishing and base point freeness theorems. We prove in this paper that the LCS locus of a log canonical variety has seminormal singularities.

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  1. Failure of the semi log canonical Abundance for compact K\"{a}hler threefolds

    math.AG 2026-04 unverdicted novelty 7.0

    A counterexample is constructed to the semi-log canonical abundance conjecture for compact Kähler threefolds, while abundance holds for semi-dlt pairs and for slc pairs with positive Kodaira dimension on all normaliza...