Canonical heights and division polynomials
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Publication:2927890
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
hyperelliptic curveslocal heightdivisibility sequencesdivision polynomialhyperelliptic sigma functioncanonical heights
Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) Heights (11G50) Simultaneous homogeneous approximation, linear forms (11J13)
Related Items (1)
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
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- 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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