The locus of log canonical singularities
Florin Ambro
TL;DR
This paper proves that the locus of log canonical singularities in a log canonical variety has seminormal singularities, which is important for the Log Minimal Model Program.
Contribution
It establishes that the LCS locus of a log canonical variety is seminormal, providing a key geometric property for the Log Minimal Model Program.
Findings
LCS locus has seminormal singularities
Supports nonvanishing and base point freeness theorems
Enhances understanding of singularity structure in algebraic geometry
Abstract
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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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Commutative Algebra and Its Applications