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arXiv:0907.4712 [math.NT]AbstractReferencesReviewsResources

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

A. Grishkov, D. Logachev

Published 2009-07-27, updated 2020-11-25Version 3

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 $n=1$.

Comments: 9 pages
Categories: math.NT, math.AG
Subjects: 11G09, 11G10, 11G15, 14K99
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