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math.DG2016
Cousin groups and Hodge structures
Rodion N. Déev
We consider the geometric properties of Hodge Cousin groups, introduced in an unpublished paper \cite{OVV}, emphasizing the case of Hodge Cousin groups corresponding to polarized $…
math.DG2015
Compact fibrations with hyperkähler fibers
Rodion N. Déev
Essential dimension of a family of complex manifolds is the dimension of the image of its base in the Kuranishi space of the fiber. We prove that any family of hyperkähler manifold…