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Anderson t-motives and abelian varieties with MIQF: Results coming from an analogy

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Author(s):
Grishkov, A. ; Logachev, D.
Total Authors: 2
Document type: Journal article
Source: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 21, n. 09, p. 12-pg., 2022-09-01.
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 C-n; (2) A construction of exterior powers of abelian varieties with MIQF having n = 1. (AU)

FAPESP's process: 17/19777-6 - Anderson t-motives, their L-functions and lattices
Grantee:Alexandre Grichkov
Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil