On height functions on Jacobian surfaces

DOI10.1007/s002290050053zbMath0926.14013OpenAlexW2057446284MaRDI QIDQ1387918

Kentaro Yoshitomi

Publication date: 29 April 1999

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10466/14492

zbMATH Keywords

Birch and Swinnerton-Dyer conjectureheight functionsNéron's local pairingcanonical local height at archimedean placesJacobian surfacesJacobian variety of a hyperelliptic curve

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Elliptic curves (14H52) Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (2)

Lower bound of the Néron-Tate height on abelian surfaces ⋮ Division polynomials and canonical local heights on hyperelliptic Jacobians

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