Reduced norms and the Riemann-Roch theorem for Abelian varieties

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 ${\mathrm{End}}^0(A)$ the $\mathbb{Q}$-endomorphism algebra of $A$. We then describe consequences and examples.

Final Version

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• Dynamics on abelian varieties in positive characteristic