| Autor: |
Arias-de-Reyna, Sara, Armana, Cécile, Karemaker, Valentijn, Rebolledo, Marusia, Thomas, Lara, Vila, Núria, Bertin, Marie José, Bucur, Alina, Feigon, Brooke, Schneps, Leila |
| Přispěvatelé: |
Sub Fundamental Mathematics, Fundamental mathematics |
| Jazyk: |
angličtina |
| Rok vydání: |
2015 |
| Předmět: |
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| Popis: |
In this paper we generalize results of P. Le Duff to genus n hyperelliptic curves. More precisely, let C∕ ℚ be a hyperelliptic genus n curve, let J(C) be the associated Jacobian variety, and let ρ̄ℓ: Gℚ→ GSp (J(C) [ ℓ] ) be the Galois representation attached to the ℓ -torsion of J(C). Assume that there exists a prime p such that J(C) has semistable reduction with toric dimension 1 at p. We provide an algorithm to compute a list of primes ℓ (if they exist) such that ρ̄ℓ is surjective. In particular we realize GSp6(ℓ) as a Galois group over ℚ for all primes ℓ∈ [ 11, 500, 000 ]. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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