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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The Kodaira dimension of diffeomorphic Kähler threefolds


Author: Rares Rasdeaconu
Journal: Proc. Amer. Math. Soc. 134 (2006), 3543-3553
MSC (2000): Primary 32J17; Secondary 19J10
Published electronically: May 31, 2006
MathSciNet review: 2240666
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Abstract: We provide infinitely many examples of pairs of diffeomorphic, non-simply-connected Kähler manifolds of complex dimension three with different Kodaira dimensions. Also, in any possible Kodaira dimension we find infinitely many pairs of non-deformation equivalent, diffeomorphic Kähler threefolds.


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Additional Information

Rares Rasdeaconu
Affiliation: Department of Mathematics, SUNY at Stony Brook, Stony Brook, New York 11794
Email: rares@math.sunysb.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08372-9
PII: S 0002-9939(06)08372-9
Keywords: Whitehead torsion, $s$-cobordism, Kodaira dimension, K{\" a}hler manifolds
Received by editor(s): November 7, 2004
Received by editor(s) in revised form: June 16, 2005
Published electronically: May 31, 2006
Communicated by: Jon G. Wolfson
Article copyright: © Copyright 2006 American Mathematical Society