S-equivalence for algebraic stacks
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915007746277376 |
|---|---|
| author | Zhang, Xucheng |
| author_facet | Zhang, Xucheng |
| contents | We generalize the notion of S-equivalence, previously defined for semistable vector bundles, to points in arbitrary algebraic stacks and use it to describe the identification of points when passing to the moduli space. As applications, we recover the classical S-equivalence by considering the identification of semistable vector bundles in the moduli space, and discuss its relation to separatedness of the moduli space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04053 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | S-equivalence for algebraic stacks Zhang, Xucheng Algebraic Geometry We generalize the notion of S-equivalence, previously defined for semistable vector bundles, to points in arbitrary algebraic stacks and use it to describe the identification of points when passing to the moduli space. As applications, we recover the classical S-equivalence by considering the identification of semistable vector bundles in the moduli space, and discuss its relation to separatedness of the moduli space. |
| title | S-equivalence for algebraic stacks |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2411.04053 |