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

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Autor(es):
Grishkov, A. ; Logachev, D.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 21, n. 09, p. 12-pg., 2022-09-01.
Resumo

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)

Processo FAPESP: 17/19777-6 - T-motivos de Anderson, seus L-funções e reticulados
Beneficiário:Alexandre Grichkov
Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Brasil