Mathematics > Algebraic Geometry
arXiv:2605.25896 (math)
[Submitted on 25 May 2026 (v1), last revised 29 May 2026 (this version, v2)]
Abstract:We study rational double points over algebraically closed fields in arbitrary characteristics and completely classify the indecomposable objects in their singularity categories, which correspond to the vertices in their Auslander-Reiten quivers. Along the way, we present an alternative proof determining the configuration of these Auslander-Reiten quivers, and provide methods to handle the homotopy categories of matrix factorizations of isolated hypersurface singularities with computer algebra systems.
Submission history
From: Yuta Takashima [view email]
[v1]
Mon, 25 May 2026 14:25:46 UTC (33 KB)
[v2]
Fri, 29 May 2026 08:09:06 UTC (33 KB)
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