The Kodaira dimension of diffeomorphic Kähler 3-folds

2004/11/06 by Rareş Răsdeaconu, Rares Rasdeaconu, Rasdeaconu, Rares
Mathematics · #19J10 #32J17 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #math.AG #math.DG #msc:19J10 #msc:32J17

paper · pdf · doi:10.48550/arxiv.math/0411139

11 pages, no figures, submitted for publication

arxiv created 2004/11/06 · openalex publication_date 2004/11/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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