An arithmetic Riemann-Roch theorem in higher degrees
[Un théorème de Riemann-Roch arithmétique en degrés supérieurs]
Gillet, Henri ; Rössler, Damian ; Soulé, Christophe
Annales de l'Institut Fourier, Tome 58 (2008), p. 2169-2189 / Harvested from Numdam
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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.

Publié le : 2008-01-01
DOI : https://doi.org/10.5802/aif.2410
Classification:  14G40,  14C40,  58J52
Mots clés: géométrie d’Arakelov, théorème de Grothendieck-Riemann-Roch, forme de torsion analytique, théorie de l’intersection arithmétique 
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     title = {An arithmetic Riemann-Roch theorem in higher degrees},
     journal = {Annales de l'Institut Fourier},
     volume = {58},
     year = {2008},
     pages = {2169-2189},
     doi = {10.5802/aif.2410},
     zbl = {1152.14023},
     mrnumber = {2473633},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2008__58_6_2169_0}
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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) pp. 2169-2189. doi : 10.5802/aif.2410. http://gdmltest.u-ga.fr/item/AIF_2008__58_6_2169_0/

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