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. Atsushi Moriwaki, Numerical characterization of nef arithmetic divisors on arithmetic surfaces
  2. Sinan Ünver, An Arakelov theoretic proof of the equality of conductor and discriminant
  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. Shun Tang, Uniqueness of equivariant singular Bott-Chern classes
  8. Pascal Autissier, Points entiers et théorèmes de Bertini arithmétiques
  9. Henri Gillet, Christophe Soulé, Direct images in non-archimedean Arakelov theory
  10. Ted Chinburg, Georgios Pappas, Martin J. Taylor, ε-constants and equivariant Arakelov–Euler characteristics

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