Abelian varieties having a reduction of \(K\)3 type

DOI10.1215/S0012-7094-92-06520-3zbMath0774.14039MaRDI QIDQ1191881

Yuri G. Zarhin

Publication date: 27 September 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

endomorphism ring\(\ell\)-adic representations\(K3\)-typereduction of abelian variety

Mathematics Subject Classification ID

Arithmetic ground fields for abelian varieties (14K15) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items

Hodge classes and Tate classes on simple abelian fourfolds, Abelian varieties, \(\ell\)-adic representations, and \(\ell\)-independence, Specialization of monodromy group and \(\ell \)-independence, Cycles in the de Rham cohomology of abelian varieties over number fields, A uniform open image theorem for \(\ell\)-adic representations. I, Algebraic cycles on a simple \(4P\)-dimensional abelian variety over a number field

Cites Work

• Finiteness theorems for abelian varieties over number fields.
• Hodge cycles, motives, and Shimura varieties
• Simple abelian varieties having a prescribed formal isogeny type
• On the field of definition for a field of automorphic functions
• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• Hodge Classes on Certain Types of Abelian Varieties
• TORSION AND ENDOMORPHISMS OF ABELIAN VARIETIES OVER INFINITE EXTENSIONS OF NUMBER FIELDS
• ℓ-Adic and λ-Adic Representations Associated to Abelian Varieties Defined Over Number Fields
• Abelian varieties, \(\ell\)-adic representations and Lie algebras. Rank independence on \(\ell\)
• Moduli of abelian varieties
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