Advertisement

Inventiones mathematicae

, Volume 112, Issue 1, pp 171–193 | Cite as

Admissible pairing on a curve

  • Shouwu Zhang
Article

Keywords

Admissible Pairing 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [A] Arakelov, A.: Intersection theory of divisors on an arithmetic surface. Izv. Akad. Nauk86, 1167–1180 (1974)Google Scholar
  2. [C-R] Chinburg, T., Rumely, R.: The capacity pairing (Preprint 1988); J. Reine Angew. Math. (to appear)Google Scholar
  3. [D] Deligne, P.: La déterminant de la cohomologie. (Contemp. Math. vol. 67) Providence, RI: Am. Math. Soc. (1987)Google Scholar
  4. [F] Faltings, G.: Calculus on arithmetic surfaces. Ann. Math.119, 387–424 (1984)Google Scholar
  5. [L] Lang, S.: Fundamentals of diophantine geometry. Berlin Heidelberg New York Springer. 1983Google Scholar
  6. [M-B] Moret-Baily, L.: Métriques permises. In: Szpiro, L. (ed.) Seminaire sur les pinceaux arithmetiques: la conjecture de Mordell. (Asterisque, vol. 127) Paris: Soc. Math. Fr. (1985)Google Scholar
  7. [S] Szpiro, L.: Sur les propriétés numériques du dualisant-relatif d'une surface arithmétique. In: Cartier, P. et al. (eds.) The Grothendieck Festschrift, vol. 3. 1990 Basel Boston Stuttgart BirkhäuserGoogle Scholar
  8. [Z] Zhang, S.: Positive line bundles on arithmetic surfaces. Thesis at Columbia University (1991); Ann. Math.136, 569–587 (1992)Google Scholar

Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Shouwu Zhang
    • 1
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA

Personalised recommendations