Classification of objects in the singularity categories of rational double points in arbitrary characteristics
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914615346069504 |
|---|---|
| author | Takashima, Yuta |
| author_facet | Takashima, Yuta |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25896 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Classification of objects in the singularity categories of rational double points in arbitrary characteristics Takashima, Yuta Algebraic Geometry Representation Theory 14F08, 14B05, 16G70, 13C14 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. |
| title | Classification of objects in the singularity categories of rational double points in arbitrary characteristics |
| topic | Algebraic Geometry Representation Theory 14F08, 14B05, 16G70, 13C14 |
| url | https://arxiv.org/abs/2605.25896 |