An arithmetic Riemann-Roch theorem in higher degrees

2008/02/11 by Henri Gillet, Gillet, Henri, Damian Rössler +3 · 1 citation
Mathematics · #14C40 #14G40 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.0802.1400

openalex publication_date 2008/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove an analogue in Arakelov geometry of the Grothendieck-Riemann-Roch theorem.

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• Riemann-Hurwitz Formula for Arithmetic Surfaces

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