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Compact symplectic solvmanifolds not admitting complex structures

✍ Scribed by Marisa Fernández; Alfred Gray

Book ID: 104653466
Publisher: Springer
Year: 1990
Tongue: English
Weight: 215 KB
Volume: 34
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00181691

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✦ Synopsis

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

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