On the conjecture of Birch and Swinnerton-Dyer

DOI10.1090/S0002-9947-97-01762-5zbMath0918.11037OpenAlexW1579544976WikidataQ123097399 ScholiaQ123097399MaRDI QIDQ4372575

Cristian D. González-Avilés

Publication date: 16 December 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01762-5

zbMATH Keywords

elliptic curves with complex multiplicationBirch Swinnerton-Dyer conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (9)

Special automorphisms on Shimura curves and non-triviality of Heegner points ⋮ Selmer groups of certain abelian varieties with complex multiplication ⋮ On the 2-part of the Birch–Swinnerton-Dyer conjecture for elliptic curves with complex multiplication by the ring of integers of ℚ(−7) ⋮ Orders of Tate-Shafarevich groups for the Neumann-Setzer type elliptic curves ⋮ Idempotent relations and the conjecture of Birch and Swinnerton-Dyer ⋮ GOLDFELD’S CONJECTURE AND CONGRUENCES BETWEEN HEEGNER POINTS ⋮ Orders of Tate–Shafarevich groups for the cubic twists of $X_0(27)$ ⋮ Elliptic curves with exceptionally large analytic order of the Tate–Shafarevich groups ⋮ Behaviour of the Order of Tate–Shafarevich Groups for the Quadratic Twists of $$X_0(49)$$

Cites Work

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