Reduced norms and the Riemann-Roch theorem for Abelian varieties

2016/03/21 by Nathan Grieve, Grieve, Nathan · 1 citation
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1603.06425

openalex publication_date 2016/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explain how the Riemann-Roch theorem for divisors on an abelian variety A is related to the reduced norms of the Wedderburn components of End⁰(A) the ℚ-endomorphism algebra of A. We then describe consequences and examples.

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