The conjectures of Tate and Mordell

zbMath0586.14012MaRDI QIDQ1071830

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Publication date: 1984

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

zbMATH Keywords

height of an abelian varietyproof of Mordell conjectureproof of Shafarevich conjectureproof of Tate conjecturerational points on elliptic curves

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Special algebraic curves and curves of low genus (14H45) Algebraic moduli of abelian varieties, classification (14K10) Heights (11G50) Arithmetic ground fields for abelian varieties (14K15) Higher degree equations; Fermat's equation (11D41) Formal groups, (p)-divisible groups (14L05)

Related Items (5)

Central extensions of symmetric groups as Galois groups ⋮ Families of motives and the Mumford-Tate conjecture ⋮ Lectures on the Ax–Schanuel conjecture ⋮ On a class of integer-valued functions ⋮ On compatibility of the \(\ell\)-adic realisations of an abelian motive

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