no. 6
An arithmetic Riemann-Roch theorem in higher degrees
[Un théorème de Riemann-Roch arithmétique en degrés supérieurs]
Gillet, Henri1 ; Rössler, Damian2 ; Soulé, Christophe3
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, Tome 58 (2008) no. 6, pp. 2169-2189.

Nous démontrons un analogue du théorème de Grothendieck-Riemann-Roch en géométrie d’Arakelov.

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

DOI : 10.5802/aif.2410
Classification : 14G40, 14C40, 58J52
Keywords: Arakelov Geometry, Grothendieck-Riemann-Roch theorem, analytic torsion form, arithmetic intersection theory
Mot clés : géométrie d’Arakelov, théorème de Grothendieck-Riemann-Roch, forme de torsion analytique, théorie de l’intersection arithmétique

Gillet, Henri 1 ; Rössler, Damian 2 ; Soulé, Christophe 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) 
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Gillet, Henri; Rössler, Damian; Soulé, Christophe. An arithmetic Riemann-Roch theorem in higher degrees. Annales de l'Institut Fourier, Tome 58 (2008) no. 6, pp. 2169-2189. doi : 10.5802/aif.2410. https://aif.centre-mersenne.org/articles/10.5802/aif.2410/

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