Moduli of toric principal bundles
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913021033447424 |
|---|---|
| author | Huang, Shaoyu Kaveh, Kiumars |
| author_facet | Huang, Shaoyu Kaveh, Kiumars |
| contents | Let $G$ be a reductive algebraic group. A toric principal $G$-bundle is a principal $G$-bundle over a toric variety together with a torus action commuting with the $G$-action. Extending the Klyachko classification of toric vector bundles, Kaveh-Manon classify toric principal bundles by piecewise linear maps to the (extended) Tits building of $G$. In this paper, we use this classification to construct a moduli space of (framed) toric principal bundles with given total equivariant characteristic class, as a locally closed subvariety of a product of partial flag varieties. This extends the construction of moduli of toric vector bundles by Sam Payne. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_08929 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Moduli of toric principal bundles Huang, Shaoyu Kaveh, Kiumars Algebraic Geometry 14M25, 14D22 Let $G$ be a reductive algebraic group. A toric principal $G$-bundle is a principal $G$-bundle over a toric variety together with a torus action commuting with the $G$-action. Extending the Klyachko classification of toric vector bundles, Kaveh-Manon classify toric principal bundles by piecewise linear maps to the (extended) Tits building of $G$. In this paper, we use this classification to construct a moduli space of (framed) toric principal bundles with given total equivariant characteristic class, as a locally closed subvariety of a product of partial flag varieties. This extends the construction of moduli of toric vector bundles by Sam Payne. |
| title | Moduli of toric principal bundles |
| topic | Algebraic Geometry 14M25, 14D22 |
| url | https://arxiv.org/abs/2604.08929 |