Root numbers and algebraic points on elliptic surfaces with base \(\mathbb{P}^1\)

DOI10.1215/S0012-7094-97-08918-3zbMath0907.14012MaRDI QIDQ1373179

Gregory R. Grant, Elisabetta Manduchi

Publication date: 8 January 1998

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

function fieldelliptic fibrationelliptic surfaceconjectures of Birch and Swinnerton-Dyerextension of ground fields

Mathematics Subject Classification ID

Rational points (14G05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (1)

Root numbers and algebraic points on elliptic surfaces with elliptic base

Cites Work

• Lang maps and Harris's conjecture
• An Explicit Algorithm for Computing the Picard Number of Certain Algebraic Surfaces
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