Titlebook: Discovering Mathematics with Magma; Reducing the Abstrac Wieb Bosma,John Cannon Book 2006 Springer-Verlag Berlin Heidelberg 2006 Magma.Perm

Johnson

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tympanometry

佛刊

Obverse

咽下

Computing with the analytic Jacobian of a genus 2 curve,escribed Complex Multiplication. We treat 2 fields, one easy and one harder. Secondly we show how . can be used to find, and ultimately prove existence of, rational isogenies between the Jacobians of two genus 2 curves.

地名表

Graded rings and special K3 surfaces,as an application, construct 27 families of K3 surfaces that appear as degenerate cases of surfaces in the usual lists. These are displayed in Tables 1–3 and include both standard degenerations and new examples.

地名表

carotid-bruit

Computer aided discovery of a fast algorithm for testing conjugacy in braid groups,id group. These investigations ultimately lead to the discovery of a new invariant of conjugacy classes in braid groups, to an efficient way of computing this invariant, and in particular to a much more powerful conjugacy test than the one which was originally to be implemented [11].

sed-rate

jagged

Studying the Birch and Swinnerton-Dyer conjecture for modular abelian varieties using Magma,ssume the reader has proficiency working with elliptic curves, abelian varieties, modular forms, or modular symbols. The computations give evidence for the Birch and Swinnerton- Dyer conjecture and increase our explicit understanding of modular abelian varieties.