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Compact symplectic solvmanifolds not admitting complex structures

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Abstract

In this paper the authors exhibit a family of 4-dimensional compact solvemanifolds. Each member M 3(k) of the family possesses all of the topological properties of a compact Kähler manifold, yet M 3(k) can have no complex structure. The proof uses Kodaira's classification of compact surfaces.

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Authors and Affiliations

  1. Departamento de Matemáticas, Facultad de Ciencias, Universidad del País Vasco, Apartado 644, Bilbao, Spain

    Marisa Fernández

  2. Department of Mathematics, University of Maryland, 20742, College Park, Maryland, USA

    Alfred Gray

Authors
  1. Marisa Fernández
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  2. Alfred Gray
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Fernández, M., Gray, A. Compact symplectic solvmanifolds not admitting complex structures. Geom Dedicata 34, 295–299 (1990). https://doi.org/10.1007/BF00181691

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