Cousin groups and Hodge structures

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We consider the geometric properties of Hodge Cousin groups, introduced in an unpublished paper \cite{OVV}, emphasizing the case of Hodge Cousin groups corresponding to polarized $\mathbb{Q}$-Hodge structures.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 Poincaré complete reducibility theorem for them.

14 pages

References in corpus (1)

• Twistor Theory for CR quaternionic manifolds and related structures