An arithmetic Riemann-Roch theorem.

Henri Gillet; Christophe Soulé

Inventiones mathematicae (1992)

  • Volume: 110, Issue: 3, page 473-544
  • ISSN: 0020-9910; 1432-1297/e

How to cite


Gillet, Henri, and Soulé, Christophe. "An arithmetic Riemann-Roch theorem.." Inventiones mathematicae 110.3 (1992): 473-544. <>.

author = {Gillet, Henri, Soulé, Christophe},
journal = {Inventiones mathematicae},
keywords = {arithmetic variety; Hermitian metric; arithmetic Riemann-Roch theorem; arithmetic Chow ring},
number = {3},
pages = {473-544},
title = {An arithmetic Riemann-Roch theorem.},
url = {},
volume = {110},
year = {1992},

AU - Gillet, Henri
AU - Soulé, Christophe
TI - An arithmetic Riemann-Roch theorem.
JO - Inventiones mathematicae
PY - 1992
VL - 110
IS - 3
SP - 473
EP - 544
KW - arithmetic variety; Hermitian metric; arithmetic Riemann-Roch theorem; arithmetic Chow ring
UR -
ER -

Citations in EuDML Documents

  1. Sinan Ünver, An Arakelov theoretic proof of the equality of conductor and discriminant
  2. Atsushi Moriwaki, Numerical characterization of nef arithmetic divisors on arithmetic surfaces
  3. Henri Gillet, Damian Rössler, Christophe Soulé, An arithmetic Riemann-Roch theorem in higher degrees
  4. Damien Rössler, Préface
  5. H. Gillet, C. Soulé, On the arithmetic Chern character
  6. Jean-Michel Bismut, Equivariant short exact sequences of vector bundles and their analytic torsion forms
  7. Henri Gillet, Christophe Soulé, Direct images in non-archimedean Arakelov theory
  8. Ted Chinburg, Georgios Pappas, Martin J. Taylor, ε-constants and equivariant Arakelov–Euler characteristics
  9. Shun Tang, Uniqueness of equivariant singular Bott-Chern classes
  10. Pascal Autissier, Points entiers et théorèmes de Bertini arithmétiques

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.