English

The Kodaira dimension of diffeomorphic K\"ahler 3-folds

Differential Geometry 2007-05-23 v1 Algebraic Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.math/0411139,
  title  = {The Kodaira dimension of diffeomorphic K\"ahler 3-folds},
  author = {Rares Rasdeaconu},
  journal= {arXiv preprint arXiv:math/0411139},
  year   = {2007}
}

Comments

11 pages, no figures, submitted for publication