The Hodge conjecture for powers of K3 surfaces of Picard number 16
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929339699822592 |
|---|---|
| author | Varesco, Mauro |
| author_facet | Varesco, Mauro |
| contents | We study the Hodge conjecture for powers of K3 surfaces and show that if the Kuga--Satake correspondence is algebraic for a family of K3 surfaces of generic Picard number 16, then the Hodge conjecture holds for all powers of any K3 surface in that family. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_09778 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Hodge conjecture for powers of K3 surfaces of Picard number 16 Varesco, Mauro Algebraic Geometry We study the Hodge conjecture for powers of K3 surfaces and show that if the Kuga--Satake correspondence is algebraic for a family of K3 surfaces of generic Picard number 16, then the Hodge conjecture holds for all powers of any K3 surface in that family. |
| title | The Hodge conjecture for powers of K3 surfaces of Picard number 16 |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2203.09778 |