𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On curves of genus 2 with Jacobian of GL2-type

✍ Scribed by G. Cardona; J. González; J. C. Lario; A. Rio

Publisher
Springer
Year
1999
Tongue
English
Weight
110 KB
Volume
98
Category
Article
ISSN
0025-2611

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Curves of Genus 2 with (N, N) Decomposab
Curves of Genus 2 with (N, N) Decomposable Jacobians
✍ T. Shaska 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 344 KB

Let C be a curve of genus 2 and ψ 1 : C -→ E 1 a map of degree n, from C to an elliptic curve E 1 , both curves defined over C. This map induces a degree n map φ 1 : P 1 -→ P 1 which we call a Frey-Kani covering. We determine all possible ramifications for φ 1 . If ψ 1 : C -→ E 1 is maximal then the

Jacobians of Genus One Curves
Jacobians of Genus One Curves
✍ Sang Yook An; Seog Young Kim; David C. Marshall; Susan H. Marshall; William G. M 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 122 KB

Consider a curve of genus one over a field K in one of three explicit forms: a double cover of P 1 , a plane cubic, or a space quartic. For each form, a certain syzygy from classical invariant theory gives the curve's jacobian in Weierstrass form and the covering map to its jacobian induced by the K

2-Descent on the Jacobians of Hyperellip
2-Descent on the Jacobians of Hyperelliptic Curves
✍ E.F. Schaefer 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 470 KB

Let \(J\) be the Jacobian of the hyperelliptic curve \(Y^{2}=f\left(X^{2}\right)\) over a field \(K\) of characteristic 0 , where \(f\) has odd degree. We shall present an embedding of the group \(J(K) / 2 J(K)\) into the group \(L^{* / L^{* 2}}\) where \(L=K[T] / f(T)\). Since this embedding is der