Stratification theorems for exponential sums in families
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916034072543232 |
|---|---|
| author | Bonolis, Dante Kowalski, Emmanuel Woo, Katharine |
| author_facet | Bonolis, Dante Kowalski, Emmanuel Woo, Katharine |
| contents | We survey some of the stratification theorems concerning exponential sums over finite fields, especially those due to Katz-Laumon and Fouvry-Katz, as well as some of their applications. Moreover, motivated partly by recent work of Bonolis, Pierce and Woo (arXiv:2505.11226), we prove that these stratification statements admit uniform variants in families, both algebraically and analytically.
The paper includes an Appendix by Forey, Fresán and Kowalski (excerpted from arXiv:2109.11961), which provides an elementary intuitive introduction to trace functions in more than one variable over finite fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_18299 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stratification theorems for exponential sums in families Bonolis, Dante Kowalski, Emmanuel Woo, Katharine Number Theory 11T23, 14F20 We survey some of the stratification theorems concerning exponential sums over finite fields, especially those due to Katz-Laumon and Fouvry-Katz, as well as some of their applications. Moreover, motivated partly by recent work of Bonolis, Pierce and Woo (arXiv:2505.11226), we prove that these stratification statements admit uniform variants in families, both algebraically and analytically. The paper includes an Appendix by Forey, Fresán and Kowalski (excerpted from arXiv:2109.11961), which provides an elementary intuitive introduction to trace functions in more than one variable over finite fields. |
| title | Stratification theorems for exponential sums in families |
| topic | Number Theory 11T23, 14F20 |
| url | https://arxiv.org/abs/2506.18299 |