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arXiv · 2305.19246

Abelian Varieties over Real Closed Fields

Nathanial Lowry
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Abstract

In this paper, we classify the possible group structures on the set of $R$-valued points of an abelian variety, where $R$ is any real closed field. We make use of a family of abelian varieties that, in effect, allows one to quantify over all abelian varieties of a fixed dimension and degree of polarization in a first-order fashion.

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Nathanial Lowry. 2023-05-30. Abelian Varieties over Real Closed Fields. https://arxiv.org/abs/2305.19246

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