An arithmetic Riemann-Roch theorem

1992/12/01 by Henri Gillet, Christophe Soul� · 8 citations
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Mathematics and Applications

paper · doi:10.1007/bf01231343

crossref issued 1992/12/01 · crossref published 1992/12/01 · crossref published-print 1992/12/01 · openalex publication_date 1992/12/01 · crossref created 2005/02/26 · crossref deposited 2020/04/06 · openalex created_date 2025/10/10 · crossref indexed 2026/07/13 · openalex updated_date 2026/07/23

Citations

• Éléments de géométrie algébrique : I. Le langage des schémas

Cited by

• Deligne-Riemann-Roch Theorems I. Uniqueness of Deligne Pairings and Degree 1 Part of Deligne-Riemann-Roch Isomorphisms
• Upper Bounds for Regularized Determinants
• Inequality of Bogomolov-Gieseker's type on arithmetic surfaces
• Analytic torsion, vortices and positive Ricci curvature
• Canonical heights for random iterations in certain varieties
• Convergence of Harder-Narasimhan polygons
• Christophe Soulé [wikipedia]
• Henri Gillet [wikipedia]