[Un théorème de Riemann-Roch arithmétique en degrés supérieurs]
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.
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
@article{AIF_2008__58_6_2169_0,
author = {Gillet, Henri and R\"ossler, Damian and Soul\'e, Christophe},
title = {An arithmetic {Riemann-Roch} theorem in higher degrees},
journal = {Annales de l'Institut Fourier},
pages = {2169--2189},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {58},
number = {6},
year = {2008},
doi = {10.5802/aif.2410},
zbl = {1152.14023},
mrnumber = {2473633},
language = {en},
url = {http://www.numdam.org/articles/10.5802/aif.2410/}
}
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 SP - 2169 EP - 2189 VL - 58 IS - 6 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2410/ DO - 10.5802/aif.2410 LA - en ID - AIF_2008__58_6_2169_0 ER -
%0 Journal Article %A Gillet, Henri %A Rössler, Damian %A Soulé, Christophe %T An arithmetic Riemann-Roch theorem in higher degrees %J Annales de l'Institut Fourier %D 2008 %P 2169-2189 %V 58 %N 6 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2410/ %R 10.5802/aif.2410 %G en %F AIF_2008__58_6_2169_0
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. http://www.numdam.org/articles/10.5802/aif.2410/
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