On the height constant for curves of genus two

Michael Stoll

Acta Arithmetica (1999)

  • Volume: 90, Issue: 2, page 183-201
  • ISSN: 0065-1036

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Michael Stoll. "On the height constant for curves of genus two." Acta Arithmetica 90.2 (1999): 183-201. <http://eudml.org/doc/207322>.

@article{MichaelStoll1999,
author = {Michael Stoll},
journal = {Acta Arithmetica},
keywords = {curves of genus two; Jacobians; local fields; number fields; height constant; torsion points; rational torsion subgroup; canonical height; rational torsion; Jacobian},
language = {eng},
number = {2},
pages = {183-201},
title = {On the height constant for curves of genus two},
url = {http://eudml.org/doc/207322},
volume = {90},
year = {1999},
}

TY - JOUR
AU - Michael Stoll
TI - On the height constant for curves of genus two
JO - Acta Arithmetica
PY - 1999
VL - 90
IS - 2
SP - 183
EP - 201
LA - eng
KW - curves of genus two; Jacobians; local fields; number fields; height constant; torsion points; rational torsion subgroup; canonical height; rational torsion; Jacobian
UR - http://eudml.org/doc/207322
ER -

References

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  1. [1] J. W. S. Cassels and E. V. Flynn, Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2, Cambridge Univ. Press, Cambridge, 1996. Zbl0857.14018
  2. [2] E. V. Flynn, An explicit theory of heights, Trans. Amer. Math. Soc. 347 (1995), 3003-3015. Zbl0864.11033
  3. [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. Zbl0895.11026
  4. [4] W. Fulton and J. Harris, Representation Theory, Grad. Texts in Math. 129, Springer, 1991. 
  5. [5] S. Siksek, Infinite descent on elliptic curves, Rocky Mountain J. Math. 25 (1995), 1501-1538. Zbl0852.11028
  6. [6] Kummer surface formulas, ftp://ftp.liv.ac.uk/~ftp/pub/genus2/. Zbl1221.14045
  7. [7] Magma homepage, http://www.maths.usyd.edu.au:8000/u/magma/. 

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