Hodge and Frobenius colevels of algebraic varieties
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912339071074304 |
|---|---|
| author | Wan, Daqing Zhang, Dingxin |
| author_facet | Wan, Daqing Zhang, Dingxin |
| contents | We provide new, improved lower bounds for the Hodge and Frobenius colevels of algebraic varieties (over $\mathbf{C}$ or over a finite field) in all cohomological degrees. These bounds are expressed in terms of the dimension of the variety and multi-degrees of its defining equations. Our results lead to an enhanced positive answer to a question raised by Esnault and the first author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_16290 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hodge and Frobenius colevels of algebraic varieties Wan, Daqing Zhang, Dingxin Algebraic Geometry Number Theory 14F20, 32S35, 14G15, 11M38 We provide new, improved lower bounds for the Hodge and Frobenius colevels of algebraic varieties (over $\mathbf{C}$ or over a finite field) in all cohomological degrees. These bounds are expressed in terms of the dimension of the variety and multi-degrees of its defining equations. Our results lead to an enhanced positive answer to a question raised by Esnault and the first author. |
| title | Hodge and Frobenius colevels of algebraic varieties |
| topic | Algebraic Geometry Number Theory 14F20, 32S35, 14G15, 11M38 |
| url | https://arxiv.org/abs/2309.16290 |