Canonical heights and division polynomials

DOI10.1017/S0305004114000371zbMath1306.11052arXiv1306.4030OpenAlexW3106163910MaRDI QIDQ2927890

Jan Steffen Müller, Robin de Jong

Publication date: 4 November 2014

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.4030

zbMATH Keywords

hyperelliptic curveslocal heightdivisibility sequencesdivision polynomialhyperelliptic sigma functioncanonical heights

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) Heights (11G50) Simultaneous homogeneous approximation, linear forms (11J13)

Related Items (1)

Addition of divisors on hyperelliptic curves via interpolation polynomials

Cites Work

• Computing Néron-Tate heights of points on hyperelliptic Jacobians
• Division polynomials and canonical local heights on hyperelliptic Jacobians
• Diophantine approximation on abelian varieties
• The Magma algebra system. I: The user language
• Computing canonical heights using arithmetic intersection theory
• Valuations of Somos 4 sequences and canonical local heights on elliptic curves
• Canonical local heights and multiplication formulas for the Jacobians of curves of genus 2
• Division polynomials and multiplication formulae of Jacobian varieties of dimension 2
• Corrections to “Division polynomials and multiplication formulae in dimension 2”
• Higher dimensional diophantine problems
• On the height constant for curves of genus two, II

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