On the rank of an elliptic surface
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Publication:1127767
DOI10.1007/s002220050238zbMath0905.14019OpenAlexW1972431694MaRDI QIDQ1127767
Joseph H. Silverman, Michael I. Rosen
Publication date: 9 August 1998
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002220050238
Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)
Related Items (16)
Constructing one-parameter families of elliptic curves with moderate rank ⋮ Non-isotrivial elliptic surfaces with non-zero average root number ⋮ Effective equidistribution and the Sato-Tate law for families of elliptic curves ⋮ Lower-Order Biases in the Second Moment of Dirichlet Coefficients in Families of L-Functions ⋮ \({\theta}\)-triangle and \({\omega}\)-parallelogram pairs with common area and common perimeter ⋮ Some Results in the Theory of Low-Lying Zeros of Families of L-Functions ⋮ Families of L-Functions and Their Symmetry ⋮ Rank bias for elliptic curves \(\bmod\,p\) ⋮ Rational equivalences on products of elliptic curves in a family ⋮ Unnamed Item ⋮ Fibrations and Tate conjecture. ⋮ Towards an `average' version of the Birch and Swinnerton-Dyer conjecture ⋮ The Sato-Tate conjecture and Nagao's conjecture ⋮ Rank and bias in families of hyperelliptic curves via Nagao's conjecture ⋮ Rational points on quadratic elliptic surfaces ⋮ Diophantine triples and \(K3\) surfaces
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