Reduced norms and the Riemann-Roch theorem for Abelian varieties

Nathan Grieve

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arXiv · 1603.06425

Reduced norms and the Riemann-Roch theorem for Abelian varieties

Nathan Grieve

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

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BibTeX RIS

Nathan Grieve. 2017-08-21. Reduced norms and the Riemann-Roch theorem for Abelian varieties. https://arxiv.org/abs/1603.06425

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