The Kodaira dimension of diffeomorphic Kähler threefolds

Răsdeaconu, Rareş

doi:10.1090/S0002-9939-06-08372-9

The Kodaira dimension of diffeomorphic Kähler threefolds
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Proc. Amer. Math. Soc. 134 (2006), 3543-3553 Request permission

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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