Formes automorphes et theoremes de Riemann-Roch arithmetiques

Details Formes automorphes et theoremes de Riemann-Roch arithmetiques Formes automorphes et theoremes de Riemann-Roch arithmetiques

2008-06-10

arxiv.org/abs/0806.1765v1

Mathematics

Algebraic Geometry

16 pages, in French

Scientific paper

Nous construisons trois familles de formes automorphes au moyen du theoreme de Riemann-Roch arithmetique et de la formule de Lefschetz arithmetique. Deux de ces familles ont deja ete construites par Yoshikawa et notre construction met en lumiere leur origine arithmetique. ----- We construct three families of automorphic forms following the arithmetic Riemann-Roch theorem and the arithmetic Lefschetz formula. Two of these families were already constructed by Yoshikawa and our construction illuminates their arithmetic origin.

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