FAMILIES OF ALGEBRAIC VARIETIES AND INVARIANT CYCLES

DOI10.1070/IM1986v027n02ABEH001177zbMath0633.14012OpenAlexW2046511480MaRDI QIDQ3770646

G. A. Mustafin

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1070/im1986v027n02abeh001177

zbMATH Keywords

degenerationsHodge structuresabelian schemesMumford-Tate conjectureinvariant cyclesmonodromy-invariant cohomology classes

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Classical real and complex (co)homology in algebraic geometry (14F25) Algebraic moduli of abelian varieties, classification (14K10) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (7)

Geometric analogue of the Mumford-Tate conjecture for stably non- degenerate abelian varieties (A note on Mustafin's paper) ⋮ On the standard conjecture for a -dimensional variety fibred by curves with a non-injective Kodaira–Spencer map ⋮ On algebraic cycles on a fibre product of families of K3-surfaces ⋮ The Betti map associated to a section of an abelian scheme ⋮ On the standard conjecture for a fibre product of three elliptic surfaces with pairwise-disjoint discriminant loci ⋮ On algebraic isomorphisms of rational cohomology of a Künnemann compactification of the Néron minimal model ⋮ On algebraic cohomology classes on a smooth model of a fiber product of families of \(K3\) surfaces

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