Jacobiennes de certaines courbes de genre 2 : torsion et simplicité

Franck Leprevost

Journal de théorie des nombres de Bordeaux (1995)

  • Volume: 7, Issue: 1, page 283-306
  • ISSN: 1246-7405

How to cite

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Leprevost, Franck. "Jacobiennes de certaines courbes de genre $2$ : torsion et simplicité." Journal de théorie des nombres de Bordeaux 7.1 (1995): 283-306. <http://eudml.org/doc/247646>.

@article{Leprevost1995,
author = {Leprevost, Franck},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {equation of curves; Jacobian},
language = {fre},
number = {1},
pages = {283-306},
publisher = {Université Bordeaux I},
title = {Jacobiennes de certaines courbes de genre $2$ : torsion et simplicité},
url = {http://eudml.org/doc/247646},
volume = {7},
year = {1995},
}

TY - JOUR
AU - Leprevost, Franck
TI - Jacobiennes de certaines courbes de genre $2$ : torsion et simplicité
JO - Journal de théorie des nombres de Bordeaux
PY - 1995
PB - Université Bordeaux I
VL - 7
IS - 1
SP - 283
EP - 306
LA - fre
KW - equation of curves; Jacobian
UR - http://eudml.org/doc/247646
ER -

References

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  1. [1] J Igusa, Arithmetic variety of moduli for genus two, Ann. of Math.72 (1960), 612-649. Zbl0122.39002MR114819
  2. [2] F. Leprévost, Familles de courbes de genre 2 munies d'une classe de diviseurs rationnels d'ordre 15, 17, 19, 21, C. R. Acad. Sci. Paris. t. 313, Série I (1991), 771-774. Zbl0758.14017MR1139836
  3. [3] F. Leprévost, Points rationnels de torsion de jacobiennes de certaines courbes de genre 2, C. R. Acad. Sci. Paris. t. 316, Série I (1993), 819-821. Zbl0783.14016MR1218268
  4. [4] C. Moreno, Algebraic curves over finite fields, Cambridge University PressCambridge tracts in mathematics 097 (1991). Zbl0733.14025MR1101140
  5. [5] A.P. Ogg, Rational points on certain elliptic modular curves, Providence, Proceedings of Symposia in Pure Mathematics, 24 (1973) 221-231. Zbl0273.14008MR337974
  6. [6] M.A. Reichert, Explicit determination of nontrivial torsion structures of elliptic curves over quadratic number fields, Math. Comp.46 (1986), 637-658. Zbl0605.14028MR829635
  7. [7] J. Tate, Endomorphisms of Abelian Varieties over Finite Fields, Inv. Math.2 (1966), 134-144. Zbl0147.20303MR206004

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