On the height constant for curves of genus two

Michael Stoll

Acta Arithmetica (1999)

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

How to cite

top

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

top
  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/. 

NotesEmbed ?

top

You must be logged in to post comments.

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

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.