Skip to main content
SpringerLink
Log in

La formule de Noether pour les surfaces arithmétiques

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Références

  • [A] Arakelov, S.Ju.: Intersection theory of divisors on an arithmetic surface. Math. USSR. Izv.8, 1167–1180 (1974)

    Google Scholar 

  • [B-M] Beilinson, A.A., Manin, Yu.I.: The Mumford form and the Polyakov measure in string theory. Commun. Math. Phys.107, 359–376 (1986)

    Google Scholar 

  • [D] Deligne, P.: Le déterminant de la cohomologie. Contemp. Math.67, 93–177 (1987)

    Google Scholar 

  • [D-M] Deligne, P., Mumford, D.: The irreducibility of the space of curves of given genus. Pub. Math. Inst. Hautes Etud. Sci., vol. 36

  • [D-R] Deligne, P., Rapoport, M.: Les schémas de modules de courbes elliptiques. In: Deligne, P., Kuijk, W. (eds.) Modular functions of one variable II. Proceedings Antwerp 1972 (Lect. Notes Math., Vol. 349). Berlin Heidelberg New York: Springer

  • [F] Faltings, G.: Calculus on arithmetic surfaces. Ann. Math.119, 387–424 (1984)

    Google Scholar 

  • [M] Mumford, D.: Stability of projective varieties. Enseign. math.23, 39–100 (1977)

    Google Scholar 

  • [MB1] Moret-Bailly, L.: Pinceaux de variétés abéliennes. Astérisque, vol. 129

  • [MB2] Moret-Bailly, L.: Sur l'équation fonctionnelle de la fonction thêta de Riemann (preprint)

  • [Sai] Saito, T.: Conductor, discriminant and the Noether formula of arithmetic surfaces. Duke Math. J.57, 151–173 (1988)

    Google Scholar 

  • [Sat] Satake, I.: On the compactification of the Siegel space. J. Indian Math. Soc.20, 259–281 (1956)

    Google Scholar 

  • [SGA4] Artin, M., Grothendieck, A., Verdier, J.-L.: Séminaire de Géométrie Algébrique du Bois Marie 1963/64, tome 3 (Lect. Notes Math., Vol. 305). Berlin Heidelberg New York: Springer

  • [SPA] Szpiro, L.: Séminaire sur les pinceaux arithmétiques: la conjecture de Mordell. Astérisque, vol. 127

Download references

Author information

Authors and Affiliations

  1. IRMAR, Université de Rennes-I, Campus de Beulieu, F-35042, Rennes Cedex, France

    Laurent Moret-Bailly

Authors
  1. Laurent Moret-Bailly
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moret-Bailly, L. La formule de Noether pour les surfaces arithmétiques. Invent Math 98, 491–498 (1989). https://doi.org/10.1007/BF01393833

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01393833

Search

Navigation