Mordell-Weil groups in procyclic extensions of a function field

DOI10.1215/S0012-7094-97-08911-0zbMath0903.14006MaRDI QIDQ1366690

Lisa A. Fastenberg

Publication date: 16 November 1997

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

zbMATH Keywords

Mordell-Weil groupelliptic curves over function fieldsprocyclic extension of rational function field

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic curves (14H52) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (3)

Selmer groups for elliptic curves in \(\mathbb Z_l^d \)-extensions of function fields of characteristic \(p\) ⋮ The bounds of the Mordell-Weil ranks in cyclotomic towers of function fields ⋮ Computing Mordell-Weil ranks of cyclic covers of elliptic surfaces

Cites Work

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• The Picard numbers of elliptic surfaces with many symmetries
• The canonical height and integral points on elliptic curves
• Intersection numbers of sections of elliptic surfaces
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• On elliptic modular surfaces
• Rational points of Abelian varieties with values in towers of number fields
• Divisibility of the Specialization Map for Families of Elliptic Curves

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