Semi-Orthogonal Decompositions for Rank Two Imprimitive Reflection Groups
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913893354307584 |
|---|---|
| author | Krug, Andreas |
| author_facet | Krug, Andreas |
| contents | For every imprimitive complex reflection group of rank 2, we construct a semi-orthogonal decomposition of the derived category of the associated global quotient stack which categorifies the usual decomposition of the orbifold cohomology indexed by conjugacy classes. This confirms a conjecture of Polishchuk and Van den Bergh in these cases. This conjecture was recently also proved by Ishii and Nimura for arbitrary complex reflection groups of rank 2 and real reflection groups of rank 3, but our approach is very different. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06916 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Semi-Orthogonal Decompositions for Rank Two Imprimitive Reflection Groups Krug, Andreas Algebraic Geometry Representation Theory For every imprimitive complex reflection group of rank 2, we construct a semi-orthogonal decomposition of the derived category of the associated global quotient stack which categorifies the usual decomposition of the orbifold cohomology indexed by conjugacy classes. This confirms a conjecture of Polishchuk and Van den Bergh in these cases. This conjecture was recently also proved by Ishii and Nimura for arbitrary complex reflection groups of rank 2 and real reflection groups of rank 3, but our approach is very different. |
| title | Semi-Orthogonal Decompositions for Rank Two Imprimitive Reflection Groups |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2504.06916 |