A Non-Archimedean Approach to Stratifications
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_ | 1866913214556536832 |
|---|---|
| author | Halupczok, Immanuel |
| author_facet | Halupczok, Immanuel |
| contents | These are notes from a mini-course about the main results of arXiv:2206.03438: I explain how, using suitable valued fields, one obtains a natural notion of canonical stratifications (of e.g. algebraic subsets of $\mathbb{R}^n$). I also explain how the same techniques yield more invariants of singularities, and I present an application to Poincaré series. While some rudimentary knowledge of model theory is useful, the notes should also be accessible without such knowledge. In particular, they contain an introduction to the non-standard analysis needed for this approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_16987 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Non-Archimedean Approach to Stratifications Halupczok, Immanuel Algebraic Geometry 14B05, 32S60, 12J25, 03C98, 03H05, 14B20 These are notes from a mini-course about the main results of arXiv:2206.03438: I explain how, using suitable valued fields, one obtains a natural notion of canonical stratifications (of e.g. algebraic subsets of $\mathbb{R}^n$). I also explain how the same techniques yield more invariants of singularities, and I present an application to Poincaré series. While some rudimentary knowledge of model theory is useful, the notes should also be accessible without such knowledge. In particular, they contain an introduction to the non-standard analysis needed for this approach. |
| title | A Non-Archimedean Approach to Stratifications |
| topic | Algebraic Geometry 14B05, 32S60, 12J25, 03C98, 03H05, 14B20 |
| url | https://arxiv.org/abs/2311.16987 |