Sur l'équation fonctionnelle de la fonction thêta de Riemann

Laurent Moret-Bailly

Compositio Mathematica (1990)

  • Volume: 75, Issue: 2, page 203-217
  • ISSN: 0010-437X

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Moret-Bailly, Laurent. "Sur l'équation fonctionnelle de la fonction thêta de Riemann." Compositio Mathematica 75.2 (1990): 203-217. <http://eudml.org/doc/90034>.

@article{Moret1990,
author = {Moret-Bailly, Laurent},
journal = {Compositio Mathematica},
keywords = {theta functions; algebraic stack; principally polarized abelian varieties; canonical metrics; arithmetic surfaces},
language = {fre},
number = {2},
pages = {203-217},
publisher = {Kluwer Academic Publishers},
title = {Sur l'équation fonctionnelle de la fonction thêta de Riemann},
url = {http://eudml.org/doc/90034},
volume = {75},
year = {1990},
}

TY - JOUR
AU - Moret-Bailly, Laurent
TI - Sur l'équation fonctionnelle de la fonction thêta de Riemann
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 75
IS - 2
SP - 203
EP - 217
LA - fre
KW - theta functions; algebraic stack; principally polarized abelian varieties; canonical metrics; arithmetic surfaces
UR - http://eudml.org/doc/90034
ER -

References

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  1. 1 Ching-li Chai et G. Faltings, ouvrage en préparation. 
  2. 2 P. Deligne et D. Mumford, The Irreducibility of the Space of Curves of Given Genus, Pub. Math. IHES, vol. 36. Zbl0181.48803
  3. 3 G. Faltings, Calculus on arithmetic surfaces, Ann. of Math.119 (1984), 387-424. Zbl0559.14005MR740897
  4. 4 J. Igusa, Theta Functions, Grundlehren194 (Springer). Zbl0251.14016
  5. 5 N.M. Katz et B. Mazur, Arithmetic Moduli of Elliptic Curves, Ann. of Math. Studies (Princeton) n° 108. Zbl0576.14026
  6. 6 S. Lang, Elliptic Functions (Addison-Wesley). Zbl0316.14001MR409362
  7. 7 L. Moret-Bailly, Pinceaux de variétés abéliennes, Astérisque, vol. 129. Zbl0595.14032MR797982
  8. 8 L. Moret-Bailly, La formule de Noether pour les surfaces arithmétiques, Invent. Math.98 (1989), 491-498. Zbl0727.14014MR1022303
  9. 9 D. Mumford, On the Equations Defining Abelian Varieties I, Invent. Math.1 (1966), 287-354. Zbl0219.14024MR204427
  10. 10 D. Mumford, Tata Lectures on Theta I, Progress in Math. (Birkhâuser), vol. 28. Zbl0509.14049MR688651

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