An arithmetic Riemann-Roch theorem in higher degrees

Henri Gillet[1]; Damian Rössler[2]; Christophe Soulé[3]

  • [1] University of Illinois at Chicago Department of Mathematics Box 4348 Chicago IL 60680 (USA)
  • [2] Institut de Mathématiques de Jussieu 2 place Jussieu Case Postale 7012 75251 Paris cedex 05 (France)
  • [3] IHÉS 35 route de Chartres 91440 Bures-Sur-Yvette (France)

Annales de l’institut Fourier (2008)

  • Volume: 58, Issue: 6, page 2169-2189
  • ISSN: 0373-0956

Abstract

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We prove an analog in Arakelov geometry of the Grothendieck-Riemann-Roch theorem.

How to cite

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Gillet, Henri, Rössler, Damian, and Soulé, Christophe. "An arithmetic Riemann-Roch theorem in higher degrees." Annales de l’institut Fourier 58.6 (2008): 2169-2189. <http://eudml.org/doc/10374>.

@article{Gillet2008,
abstract = {We prove an analog in Arakelov geometry of the Grothendieck-Riemann-Roch theorem.},
affiliation = {University of Illinois at Chicago Department of Mathematics Box 4348 Chicago IL 60680 (USA); Institut de Mathématiques de Jussieu 2 place Jussieu Case Postale 7012 75251 Paris cedex 05 (France); IHÉS 35 route de Chartres 91440 Bures-Sur-Yvette (France)},
author = {Gillet, Henri, Rössler, Damian, Soulé, Christophe},
journal = {Annales de l’institut Fourier},
keywords = {Arakelov Geometry; Grothendieck-Riemann-Roch theorem; analytic torsion form; arithmetic intersection theory; Arakelov geometry; Grothendieck-Riemann-Roch theorm},
language = {eng},
number = {6},
pages = {2169-2189},
publisher = {Association des Annales de l’institut Fourier},
title = {An arithmetic Riemann-Roch theorem in higher degrees},
url = {http://eudml.org/doc/10374},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Gillet, Henri
AU - Rössler, Damian
AU - Soulé, Christophe
TI - An arithmetic Riemann-Roch theorem in higher degrees
JO - Annales de l’institut Fourier
PY - 2008
PB - Association des Annales de l’institut Fourier
VL - 58
IS - 6
SP - 2169
EP - 2189
AB - We prove an analog in Arakelov geometry of the Grothendieck-Riemann-Roch theorem.
LA - eng
KW - Arakelov Geometry; Grothendieck-Riemann-Roch theorem; analytic torsion form; arithmetic intersection theory; Arakelov geometry; Grothendieck-Riemann-Roch theorm
UR - http://eudml.org/doc/10374
ER -

References

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