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arXiv · 0907.4712

Anderson T-motives and abelian varieties with MIQF: results coming from an analogy

A. Grishkov·D. Logachev
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Abstract

Analogy between Anderson T-motives and abelian varieties with multiplication by an imaginary quadratic field (MIQF) is a source of 2 results: 1. A description of abelian varieties with MIQF of dimension $r$ and signature $(n, r-n)$ in terms of "lattices" of dimension $r$ in $\Bbb C^n$; 2. A construction of exterior powers of abelian varieties with MIQF having $n=1$.

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A. Grishkov, D. Logachev. 2009-07-27. Anderson T-motives and abelian varieties with MIQF: results coming from an analogy. https://arxiv.org/abs/0907.4712

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