Hodge conjecture for projective hypersurface
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911214732312576 |
|---|---|
| author | Bouali, Johann |
| author_facet | Bouali, Johann |
| contents | We show that a Hodge class of a complex smooth projective hypersurface is an analytic logarithmic De Rham class. On the other hand we show that for a complex smooth projective variety an analytic logarithmic De Rham class of of type $(d,d)$ is the class of codimension $d$ algebraic cycle. We deduce the Hodge conjecture for smooth projective hypersurfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_09268 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hodge conjecture for projective hypersurface Bouali, Johann Algebraic Geometry We show that a Hodge class of a complex smooth projective hypersurface is an analytic logarithmic De Rham class. On the other hand we show that for a complex smooth projective variety an analytic logarithmic De Rham class of of type $(d,d)$ is the class of codimension $d$ algebraic cycle. We deduce the Hodge conjecture for smooth projective hypersurfaces. |
| title | Hodge conjecture for projective hypersurface |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2312.09268 |