On the height constant for curves of genus two

• Autorzy: Michael Stoll
• Języki publikacji: EN

Słowa kluczowe

EN

curves of genus two; Jacobians; local fields; number fields; height constant; torsion points; rational torsion subgroup; canonical height

Kategorie tematyczne

• 14H45: Special curves and curves of low genus
• 11G10: Abelian varieties of dimension > 1
• 11G30: Curves of arbitrary genus or genus ≠ 1 over global fields
• 14H40: Jacobians, Prym varieties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 90
• Numer: 2
• Strony: 183-201

Daty

wydano

1999

otrzymano

1998-10-29

poprawiono

1999-03-10

Twórcy

autor

Michael Stoll

• Mathematisches Institut, Universitätsstr. 1, D-40225 Düsseldorf, Germany

Bibliografia

• [1] J. W. S. Cassels and E. V. Flynn, Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2, Cambridge Univ. Press, Cambridge, 1996.
• [2] E. V. Flynn, An explicit theory of heights, Trans. Amer. Math. Soc. 347 (1995), 3003-3015.
• [3] E. V. Flynn and N. P. Smart, Canonical heights on the Jacobians of curves of genus 2 and the infinite descent, Acta Arith. 79 (1997), 333-352.
• [4] W. Fulton and J. Harris, Representation Theory, Grad. Texts in Math. 129, Springer, 1991.
• [5] S. Siksek, Infinite descent on elliptic curves, Rocky Mountain J. Math. 25 (1995), 1501-1538.
• [6] Kummer surface formulas, ftp://ftp.liv.ac.uk/~ftp/pub/genus2/.
• [7] Magma homepage, http://www.maths.usyd.edu.au:8000/u/magma/.