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Computing a Selmer group of a Jacobian using functions on the curve

โœ Scribed by Edward F. Schaefer


Publisher
Springer
Year
1998
Tongue
English
Weight
256 KB
Volume
310
Category
Article
ISSN
0025-5831

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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

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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