Mordell-Weil groups of elliptic curves over C(t) with pg=O or 1

DOI10.1215/S0012-7094-82-04935-3zbMath0503.14018OpenAlexW1510818155MaRDI QIDQ1173132

David A. Cox

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-82-04935-3

zbMATH Keywords

elliptic curveMordell-Weil groupelliptic surfaceK3 surfaceperiod mapminimal elliptic fibrationgroup of sections

Mathematics Subject Classification ID

Rational points (14G05) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Families, moduli, classification: algebraic theory (14J10) Compact complex surfaces (32J15) Global ground fields in algebraic geometry (14G25)

Related Items (13)

Descent on elliptic surfaces and arithmetic bounds for the Mordell-Weil rank ⋮ Orbifolds, special varieties and classification theory. ⋮ Explicit coverings of families of elliptic surfaces by squares of curves ⋮ Torsion divisors of plane curves with maximal flexes and Zariski pairs ⋮ Mordell-Weil groups of a hyperkähler manifold -- a question of F. Campana ⋮ A note on elliptic k3 surfaces ⋮ Inose’s construction and elliptic 𝐾3 surfaces with Mordell-Weil rank 15 revisited ⋮ Explicit elliptic \(K3\) surfaces with rank 15 ⋮ On the Mordell–Weil rank of a surface fibration ⋮ The canonical height and elliptic surfaces ⋮ Local families of K3 surfaces and applications ⋮ Unnamed Item ⋮ ELLIPTIC K3 SURFACES ASSOCIATED WITH THE PRODUCT OF TWO ELLIPTIC CURVES: MORDELL–WEIL LATTICES AND THEIR FIELDS OF DEFINITION

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