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DEFORMATIONS OF KODAIRA MANIFOLDS

Published online by Cambridge University Press:  19 May 2004

GUEO GRANTCHAROV ,
COLIN McLAUGHLIN ,
HENRIK PEDERSEN  and
YAT SUN POON
GUEO GRANTCHAROV
Affiliation:
Department of Mathematics, Florida International University, Miami, FL 33159, U.S.A.
COLIN McLAUGHLIN
Affiliation:
Department of Mathematics, University of California at Riverside, Riverside CA 92521, U.S.A.
HENRIK PEDERSEN
Affiliation:
Department of Math. and Comp. Sci., University of Southern Denmark, Campusvej 55, Odense M, DK-5230, Denmark
YAT SUN POON
Affiliation:
Department of Mathematics, University of California at Riverside, Riverside CA 92521, U.S.A.
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Abstract

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Using compact simple Lie groups and Heisenberg groups, we combine and generalize the constructions of complex structures on Kodaira surfaces and Hopf surfaces. We identify locally complete parameter spaces of deformations of these spaces and analyze the deformation of Kodaira manifolds in details.

Keywords

Primary 32G05Secondary 53C1553C5657S2517B30
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 2 , May 2004 , pp. 259 - 281
Copyright
2004 Glasgow Mathematical Journal Trust