Finite monodromy of some two-parameter families of exponential sums
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914834990235648 |
|---|---|
| author | García-Cortés, Francisco Rojas-León, Antonio |
| author_facet | García-Cortés, Francisco Rojas-León, Antonio |
| contents | We determine the set of polynomials $f(x)\in k[x]$, where $k$ is a finite field, such that the local system on $\mathbb G_m^2$ which parametrizes the family of exponential sums $(s,t)\mapsto\sum_{x\in k}ψ(sf(x)+tx)$ has finite monodromy, in two cases: when $f(x)=x^d+λx^e$ is a binomial and when $f(x)=(x-α)^d(x-β)^e$ is of Belyi type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10385 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite monodromy of some two-parameter families of exponential sums García-Cortés, Francisco Rojas-León, Antonio Number Theory Algebraic Geometry 11L05, 11L73 We determine the set of polynomials $f(x)\in k[x]$, where $k$ is a finite field, such that the local system on $\mathbb G_m^2$ which parametrizes the family of exponential sums $(s,t)\mapsto\sum_{x\in k}ψ(sf(x)+tx)$ has finite monodromy, in two cases: when $f(x)=x^d+λx^e$ is a binomial and when $f(x)=(x-α)^d(x-β)^e$ is of Belyi type. |
| title | Finite monodromy of some two-parameter families of exponential sums |
| topic | Number Theory Algebraic Geometry 11L05, 11L73 |
| url | https://arxiv.org/abs/2406.10385 |