KUGA-SATAKE ABELIAN VARIETIES AND $ l$-ADIC REPRESENTATIONS

DOI10.1070/IM1992v039n01ABEH002229zbMath0791.14020MaRDI QIDQ3980630

S. G. Tankeev

Publication date: 26 June 1992

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

zbMATH Keywords

Mumford-Tate groupMumford-Tate conjectureKuga-Satake abelian varieties\(l\)-adic representation in the one-dimensional cohomology of abelian variety

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (p)-adic cohomology, crystalline cohomology (14F30)

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