Affine vs. Stein in rigid geometry
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_ | 1866908336863051776 |
|---|---|
| author | Maculan, Marco Poineau, Jérôme |
| author_facet | Maculan, Marco Poineau, Jérôme |
| contents | We investigate the relationship between affine and Stein varieties in the context of rigid geometry. We show that the two concepts are much more closely related than in complex geometry, e.g. they are equivalent for surfaces. This rests on the density of algebraic functions in analytic functions. One key ingredient to prove such a density statement is an extension result for Cartier divisors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_08974 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Affine vs. Stein in rigid geometry Maculan, Marco Poineau, Jérôme Algebraic Geometry Complex Variables Number Theory We investigate the relationship between affine and Stein varieties in the context of rigid geometry. We show that the two concepts are much more closely related than in complex geometry, e.g. they are equivalent for surfaces. This rests on the density of algebraic functions in analytic functions. One key ingredient to prove such a density statement is an extension result for Cartier divisors. |
| title | Affine vs. Stein in rigid geometry |
| topic | Algebraic Geometry Complex Variables Number Theory |
| url | https://arxiv.org/abs/2305.08974 |