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Cousin groups and Hodge structures
Published 20 Oct 2016 in math.DG and math.CV | (1610.06263v1)
Abstract: We consider the geometric properties of Hodge Cousin groups, introduced in an unpublished paper \cite{OVV}, emphasizing the case of Hodge Cousin groups corresponding to polarized $\mathbb{Q}$-Hodge structures. Basing on this consideration, we introduce the class of abelian Cousin groups and prove an analogue of Poincar\'e complete reducibility theorem for them.
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