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On the existence of algebraic approximations of compact Kähler manifolds

De Hsueh-Yung Lin

Apparaît dans la collection : Exposés de recherche

Let $X$ be a compact Kähler manifold. The so-called Kodaira problem asks whether $X$ has arbitrarily small deformations to some projective varieties. While Kodaira proved that such deformations always exist for surfaces. Starting from dimension 4, there are examples constructed by Voisin which answer the Kodaira problem in the negative. In this talk, we will focus on threefolds, as well as compact Kähler manifolds of algebraic dimension $a(X) = dim(X) -1$. We will explain our positive solution to the Kodaira problem for these manifolds.

Informations sur la vidéo

Date de captation 17/12/2018
Date de publication 09/01/2019
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Luca Recanzone
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19484103
Citer cette vidéo Lin, Hsueh-Yung (17/12/2018). On the existence of algebraic approximations of compact Kähler manifolds. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19484103
URL https://dx.doi.org/10.24350/CIRM.V.19484103

Domaine(s)

Bibliographie

Lin, H-Y. (2017). Algebraic approximations of compact Kähler threefolds of Kodaira dimension 0 or 1.〈arXiv:1704.08109〉 - https://arxiv.org/abs/1704.08109
Lin, H-Y. (2018). Algebraic approximations of uniruled compact Kähler threefolds.〈arXiv:1710.01083〉 - https://arxiv.org/abs/1710.01083
Lin, H-Y. Algebraic approximations of compact Kähler manifolds of algebraic codimension 1, to appear -

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