Computing Mordell-Weil ranks of cyclic covers of elliptic surfaces
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Publication:2718945
DOI10.1090/S0002-9939-01-06152-4zbMath0971.14021MaRDI QIDQ2718945
Publication date: 14 May 2001
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Arithmetic theory of algebraic function fields (11R58) Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Algebraic functions and function fields in algebraic geometry (14H05)
Related Items (5)
Extremal elliptic surfaces and infinitesimal Torelli ⋮ Hodge theory and the Mordell-Weil rank of elliptic curves over extensions of function fields ⋮ A Structure Theorem for Fibrations on Delsarte Surfaces ⋮ The bounds of the Mordell-Weil ranks in cyclotomic towers of function fields ⋮ Cyclic covers of rational elliptic surfaces
Cites Work
- The Picard numbers of elliptic surfaces with many symmetries
- Intersection numbers of sections of elliptic surfaces
- Mordell-Weil groups in procyclic extensions of a function field
- On elliptic modular surfaces
- An Explicit Algorithm for Computing the Picard Number of Certain Algebraic Surfaces
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