Computing a Selmer group of a Jacobian using functions on the curve
โ Scribed by Edward F. Schaefer
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 256 KB
- Volume
- 310
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This article describes an algorithm for computing the Selmer group of an isogeny between abelian varieties. This algorithm applies when there is an isogeny from the image abelian variety to the Jacobian of a curve. The use of an auxiliary Jacobian simplifies the determination of locally trivial coho
Let C be a real algebraic curve of genus g with at least g real components B1; : : : ; Bg. We give an embedding of C into a blow up in one point of the projective plane. It allows us to describe geometrically the neutral real component Pic o (C) o of the Jacobian of C thanks to an isomorphism with t