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
β¦ LIBER β¦
Galois Theory for the Selmer Group of an Abelian Variety
β Scribed by Ralph Greenberg
- Book ID
- 110433273
- Publisher
- Cambridge University Press
- Year
- 2003
- Tongue
- English
- Weight
- 463 KB
- Volume
- 136
- Category
- Article
- ISSN
- 0010-437X
No coin nor oath required. For personal study only.
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## Abstract In Β§ l of this article, we study groupβtheoretical properties of some automorphism group Ξ¨^\*^ of the metaβabelian quotient Β§ of a free proβ__l__ group Β§ of rank two, and show that the conjugacy class of some element of order two of Ξ¨^\*^ is not determined by the action induced on the a