Geodesic
Families of algebraic varieties and invariant cycles
Izvestiya. Mathematics , Tome 27 (1986) no. 2, pp. 251-278

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This paper studies monodromy-invariant cycles in the cohomology of fibers of a family of algebraic varieties. It is shown that the localization of invariant cycles in a neighborhood of a degeneration of the family is a morphism of Hodge structures. An application of this result is the geometric analogue of the Mumford–Tate conjecture for families with strong degenerations. A large class of nonconstant abelian schemes for which the geometric analogue of the Mumford–Tate conjecture holds is constructed. Bibliography: 29 titles. 
@article{IM2_1986_27_2_a3,
     author = {G. A. Mustafin},
     title = {Families of algebraic varieties and invariant cycles},
     journal = {Izvestiya. Mathematics },
     pages = {251--278},
     publisher = {mathdoc},
     volume = {27},
     number = {2},
     year = {1986},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1986_27_2_a3/}
}
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G. A. Mustafin. Families of algebraic varieties and invariant cycles. Izvestiya. Mathematics , Tome 27 (1986) no. 2, pp. 251-278. http://geodesic.mathdoc.fr/item/IM2_1986_27_2_a3/