scientific article; zbMATH DE number 1098977

zbMath0906.11027MaRDI QIDQ4369159

Joseph H. Silverman

Publication date: 16 February 1999

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

surveydualitySelmer groupscomplex multiplicationelliptic functionsheightsGalois representationsgroup lawdescenttorsion pointsintegral pointsconjecture of Birch and Swinnerton-DyerWeil pairingisogeniesformal group\(L\)-seriesendomorphism ringShafarevich-Tate groupsTate curveselliptic curves over finite fieldsrational torsionelliptic curves over local fieldssingular cubics

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Elliptic curves (14H52) Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Elliptic curves over local fields (11G07)

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Hanoi lectures on the arithmetic of hyperelliptic curves

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