Split Nakamura manifolds and their automorphisms
Abstract
In this paper we study the class of split Nakamura manifolds, which are a type of solvmanifolds generalizing Nakamura's threefold, defined as quotients of the semidirect product Cn C by a lattice. We discuss their de Rham and Dolbeault cohomology, with emphasis on the degeneration of the Fr\"olicher spectral sequence and the ∂∂-Lemma, and their deformations. Finally, we describe their automorphism group in detail.
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