# On the height constant for curves of genus two

Acta Arithmetica (1999)

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

## Access Full Article

top## How to cite

topMichael 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

top- [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] E. V. Flynn, An explicit theory of heights, Trans. Amer. Math. Soc. 347 (1995), 3003-3015. Zbl0864.11033
- [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] 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. Zbl0852.11028
- [6] Kummer surface formulas, ftp://ftp.liv.ac.uk/~ftp/pub/genus2/. Zbl1221.14045
- [7] Magma homepage, http://www.maths.usyd.edu.au:8000/u/magma/.

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.