Abstract
In this paper we study a family of complex, compact, non-symplectic manifolds arising from linear complex dynamical systems. For every integern>3, and an ordered partition ofn into an odd numberk of positive integers we construct such a manifold together with an (n-2)-dimensional space of complex structures. We show that, under mild additional hypotheses, these deformation spaces are universal. Some of these manifolds are holomorphically equivalent to some known examples and we stablish the identification with them. But we also obtain new manifolds admitting a complex structure, and we describe the differentiable type of some of them.
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Dedicado a la memoria de Ricardo Mañé
Financé en partie par le PICS Franco-Mexicain du CNRS.
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de Medrano, S.L., Verjovsky, A. A new family of complex, compact, non-symplectic manifolds. Bol. Soc. Bras. Mat 28, 253–269 (1997). https://doi.org/10.1007/BF01233394
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DOI: https://doi.org/10.1007/BF01233394