An Explicit Theory of Heights

DOI10.2307/2154766zbMath0864.11033OpenAlexW4233886116MaRDI QIDQ4875737

E. Victor Flynn

Publication date: 11 July 1996

Full work available at URL: https://doi.org/10.2307/2154766

zbMATH Keywords

hyperelliptic curveheightsJacobian variety

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items (8)

Lower bound of the Néron-Tate height on abelian surfaces ⋮ Cycles of quadratic polynomials and rational points on a genus-2 curve ⋮ An analog of the Edwards model for Jacobians of genus 2 curves ⋮ Traces of the group law on the Kummer surface of a curve of genus 2 in characteristic 2 ⋮ Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3 ⋮ Rational points on curves ⋮ The Hasse principle and the Brauer-Manin obstruction for curves ⋮ Rational 6-Cycles Under Iteration of Quadratic Polynomials

Uses Software

• ecdata

Cites Work

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• Fields of large transcendence degree generated by values of elliptic functions
• 2-descent on the Jacobians of hyperelliptic curves
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• The Jacobian and formal group of a curve of genus 2 over an arbitrary ground field
• The group law on the jacobian of a curve of genus 2.
• Computing the Mordell-Weil Rank of Jacobians of Curves of Genus Two
• Descent via isogeny in dimension 2

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