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 establish methods to handle the homotopy categories of matrix factorizations of isolated hypersurface singularities with computer algebra systems.
| Subjects: | Algebraic Geometry (math.AG); Representation Theory (math.RT) |
| MSC classes: | 14F08, 14B05, 16G70, 13C14 |
| Cite as: | arXiv:2605.25896 [math.AG] |
| (or arXiv:2605.25896v1 [math.AG] for this version) | |
| https://doi.org/10.48550/arXiv.2605.25896 arXiv-issued DOI via DataCite (pending registration) |
From: Yuta Takashima [view email]
[v1]
Mon, 25 May 2026 14:25:46 UTC (33 KB)
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