Sums of squares on hypersurfaces
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_ | 1866909096084504576 |
|---|---|
| author | Błachut, Kacper Kowalczyk, Tomasz |
| author_facet | Błachut, Kacper Kowalczyk, Tomasz |
| contents | We show that the Pythagoras number of rings of type $\mathbb{R}[x,y, \sqrt{f(x,y)}]$ is infinite, provided that the polynomial $f(x,y)$ satisfies some mild conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_00095 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Sums of squares on hypersurfaces Błachut, Kacper Kowalczyk, Tomasz Algebraic Geometry 14P05, 26C99 We show that the Pythagoras number of rings of type $\mathbb{R}[x,y, \sqrt{f(x,y)}]$ is infinite, provided that the polynomial $f(x,y)$ satisfies some mild conditions. |
| title | Sums of squares on hypersurfaces |
| topic | Algebraic Geometry 14P05, 26C99 |
| url | https://arxiv.org/abs/2308.00095 |