Formes automorphes et theoremes de Riemann-Roch arithmetiques

2008/06/10 by Vincent Maillot, Maillot, Vincent, Damian Rössler +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT

paper · pdf · doi:10.48550/arxiv.0806.1765

16 pages, in French

arxiv created 2008/06/10 · openalex publication_date 2008/06/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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.

Cited by

• Determinants of twisted Laplacians and the twisted Selberg zeta function

Related

• Automorphic forms: a physicist's survey
• Notes on "Quadratic Forms and Automorphic Forms" from the 2009 Arizona Winter School
• Explicit Constructions of Automorphic Forms: Theta Correspondence and Automorphic Descent
• Automorphic Forms and the Theta Correspondence
• A New Proof of an Arithmetic Riemann-Roch Theorem