Extendable codimension two subvarieties in a general hypersurface
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914083614228480 |
|---|---|
| author | Ravindra, G. V. Raychaudhury, Debaditya |
| author_facet | Ravindra, G. V. Raychaudhury, Debaditya |
| contents | We exhibit a class of extendable codimension $2$ subvarieties in a general hypersurface of dimension at least $4$ in projective space. As a consequence, we prove that a general hypersurface of degree $d$ and dimension at least $4$ does not support globally generated indecomposable ACM bundles of any rank if their first Chern class $e \ll d$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08108 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extendable codimension two subvarieties in a general hypersurface Ravindra, G. V. Raychaudhury, Debaditya Algebraic Geometry 14J70 (primary), and 13D02 (secondary) We exhibit a class of extendable codimension $2$ subvarieties in a general hypersurface of dimension at least $4$ in projective space. As a consequence, we prove that a general hypersurface of degree $d$ and dimension at least $4$ does not support globally generated indecomposable ACM bundles of any rank if their first Chern class $e \ll d$. |
| title | Extendable codimension two subvarieties in a general hypersurface |
| topic | Algebraic Geometry 14J70 (primary), and 13D02 (secondary) |
| url | https://arxiv.org/abs/2510.08108 |