The Kodaira dimension of diffeomorphic Kähler 3-folds

Details The Kodaira dimension of diffeomorphic Kähler 3-folds The Kodaira dimension of diffeomorphic Kähler 3-folds

2004-11-06

arxiv.org/abs/math/0411139v1

Mathematics

Differential Geometry

11 pages, no figures, submitted for publication

Scientific paper

We provide infinitely many examples of pairs of diffeomorphic, non simply
connected K\" ahler 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 K\" ahler threefolds.

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