Split distributions on Grassmann manifolds and smooth quadric hypersurfaces
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912628320763904 |
|---|---|
| author | Cavalcante, Alana Lourenço, Fernando |
| author_facet | Cavalcante, Alana Lourenço, Fernando |
| contents | This work is dedicated to studying holomorphic distributions on Grassmann manifolds and smooth quadric hypersurfaces. In special, we prove, under certain conditions, when the tangent and conormal sheaves of a distribution splits as a sum of line bundles on these manifolds, generalizing the previous works on Fano threefolds and $\mathbb{P}^{n}$. We analyze how the algebro-geometric properties of the singular set of singular holomorphic distributions relate to their associated sheaves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04724 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Split distributions on Grassmann manifolds and smooth quadric hypersurfaces Cavalcante, Alana Lourenço, Fernando Algebraic Geometry Commutative Algebra This work is dedicated to studying holomorphic distributions on Grassmann manifolds and smooth quadric hypersurfaces. In special, we prove, under certain conditions, when the tangent and conormal sheaves of a distribution splits as a sum of line bundles on these manifolds, generalizing the previous works on Fano threefolds and $\mathbb{P}^{n}$. We analyze how the algebro-geometric properties of the singular set of singular holomorphic distributions relate to their associated sheaves. |
| title | Split distributions on Grassmann manifolds and smooth quadric hypersurfaces |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2505.04724 |