Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves

Jordi Guàrdia[1]

  • [1] Escola Politècnica Superior d’Enginyeria de Vilanova i la Geltrú Departament de Matemàtica Aplicada IV Avinguda Víctor Balaguer s/n 08800 Vilanova i la Geltrú (Spain)

Annales de l’institut Fourier (2007)

  • Volume: 57, Issue: 4, page 1253-1283
  • ISSN: 0373-0956

Abstract

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We propose a solution to the hyperelliptic Schottky problem, based on the use of Jacobian Nullwerte and symmetric models for hyperelliptic curves. Both ingredients are interesting on its own, since the first provide period matrices which can be geometrically described, and the second have remarkable arithmetic properties.

How to cite

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Guàrdia, Jordi. "Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves." Annales de l’institut Fourier 57.4 (2007): 1253-1283. <http://eudml.org/doc/10257>.

@article{Guàrdia2007,
abstract = {We propose a solution to the hyperelliptic Schottky problem, based on the use of Jacobian Nullwerte and symmetric models for hyperelliptic curves. Both ingredients are interesting on its own, since the first provide period matrices which can be geometrically described, and the second have remarkable arithmetic properties.},
affiliation = {Escola Politècnica Superior d’Enginyeria de Vilanova i la Geltrú Departament de Matemàtica Aplicada IV Avinguda Víctor Balaguer s/n 08800 Vilanova i la Geltrú (Spain)},
author = {Guàrdia, Jordi},
journal = {Annales de l’institut Fourier},
keywords = {Hyperelliptic curves; periods; Jacobian Nullwerte; hyperelliptic curves},
language = {eng},
number = {4},
pages = {1253-1283},
publisher = {Association des Annales de l’institut Fourier},
title = {Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves},
url = {http://eudml.org/doc/10257},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Guàrdia, Jordi
TI - Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves
JO - Annales de l’institut Fourier
PY - 2007
PB - Association des Annales de l’institut Fourier
VL - 57
IS - 4
SP - 1253
EP - 1283
AB - We propose a solution to the hyperelliptic Schottky problem, based on the use of Jacobian Nullwerte and symmetric models for hyperelliptic curves. Both ingredients are interesting on its own, since the first provide period matrices which can be geometrically described, and the second have remarkable arithmetic properties.
LA - eng
KW - Hyperelliptic curves; periods; Jacobian Nullwerte; hyperelliptic curves
UR - http://eudml.org/doc/10257
ER -

References

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