The arithmetic-geometric mean and isogenies for curves of higher genus

Ron Donagi; Ron Livné

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1999)

  • Volume: 28, Issue: 2, page 323-339
  • ISSN: 0391-173X

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Donagi, Ron, and Livné, Ron. "The arithmetic-geometric mean and isogenies for curves of higher genus." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 28.2 (1999): 323-339. <http://eudml.org/doc/84379>.

@article{Donagi1999,
author = {Donagi, Ron, Livné, Ron},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {arithmetic-geometric mean; isogeny of Jacobians of curves; Prym varieties},
language = {eng},
number = {2},
pages = {323-339},
publisher = {Scuola normale superiore},
title = {The arithmetic-geometric mean and isogenies for curves of higher genus},
url = {http://eudml.org/doc/84379},
volume = {28},
year = {1999},
}

TY - JOUR
AU - Donagi, Ron
AU - Livné, Ron
TI - The arithmetic-geometric mean and isogenies for curves of higher genus
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1999
PB - Scuola normale superiore
VL - 28
IS - 2
SP - 323
EP - 339
LA - eng
KW - arithmetic-geometric mean; isogeny of Jacobians of curves; Prym varieties
UR - http://eudml.org/doc/84379
ER -

References

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  1. [Bo-Me] J.-B. Bost - J.-F. Mestre, Moyenne Arithmético-géometrique et Périodes des Courbes de genre 1 et 2, Gaz. Math., S.M.F. 38 (1989), 36-64. Zbl0682.14031MR970659
  2. [Bea] A. Beauville, Prym varieties and the Schottky problem, Invent. Math.41 (1977) 149-196. Zbl0333.14013MR572974
  3. [Cox] D.A. Cox, The arithmetic geometric mean of Gauss, Enseign. Math.30 (1984), 275-330. Zbl0583.33002MR767905
  4. [Don] R. Donagi, The fibers of the Prym map, In: " Curves, Jacobians, and Abelian Varieties", Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on the Schottky Problems, DONAGI R., editor. Contemp. Math. 136, pp. 55-125. AMS, Providence Rhode Island, 1992. Zbl0783.14025MR1188194
  5. [Hart] R. Hartshorne, "Algebraic Geometry", Springer-Verlag, Berlin-Heidelberg- New-York1977. Zbl0367.14001MR463157
  6. [Hum] G. Humbert, Sur la transformation ordinaire des fonctions abeliennes, J. Math. Pures Appl., Ser. 5, 7 (1901), 395-417. Zbl32.0456.04JFM32.0456.04
  7. [Mum] D. Mumford, "Abelian Varieties", Tata Institute Series, Oxford University Press, London1974. Zbl0326.14012MR282985
  8. [Mum1] D. Mumford, Theta characteristics on an algebraic curve, Ann. Sci. École Norm. Sup.4 (1971), 181-192. Zbl0216.05904MR292836
  9. [Mum2] D. Mumford, Prym varieties I, In: "Contributions to Analysis", New-York, Acad. Press, 1974, pp. 325-350. Zbl0299.14018MR379510
  10. [Pan] S. Pantazis, Prym varieties and the geodesic flow on SO(n), Math. Ann.273 (1986), 297-315. Zbl0566.58028MR817884
  11. [Ser] J.-P. Serre, "Groupes Algébriques et Corps de Classes", Paris, Hermann1975. Zbl0318.14004MR466151

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