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Comptes Rendus Mathématique
Volume 347, n° 19-20
pages 1115-1118 (octobre 2009)
Doi : 10.1016/j.crma.2009.09.003
Received : 15 January 2009 ;  accepted : 2 September 2009
Un isomorphisme de type Deligne–Riemann–Roch
An isomorphism of the Deligne–Riemann–Roch type
 

Dennis Eriksson
Departement of Mathematics, Tokyo University, 3-8-1 Komaba Meguro-ku, 153-8914 Tokyo, Japan 

Résumé

Nous démontrons un théorème d’Adams–Riemann–Roch pour les morphismes projectifs entre schémas réguliers, du point de vue du programme de P. Deligne sur le théorème de Riemann–Roch fonctoriel, et nous en déduisons quelques conséquences géométriques. Pour citer cet article : D. Eriksson, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.
Abstract

We prove an Adams–Riemann–Roch theorem for projective morphisms between regular schemes, in the sense of the program of P. Deligne on the functorial Riemann–Roch theorem and we deduce some geometric consequences. To cite this article: D. Eriksson, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.


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