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H 2 Topics on $K3$ surfaces - Lecture 1: $K3$ surfaces in the Enriques Kodaira classification and examples

Auteurs : Sarti, Alessandra (Auteur de la Conférence)
CIRM (Editeur )

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Enriques-Kodaira classification Kodaira dimension quartics complete intersections double plane

Résumé : Aim of the lecture is to give an introduction to $K3$ surfaces, that are special algebraic surfaces with an extremely rich geometry. The most easy example of such a surface is the Fermat quartic in complex three-dimensional space.
The name $K3$ was given by André Weil in 1958 in honour of the three remarkable mathematicians: Kummer, Kähler and Kodaira and of the beautiful K2 mountain at Cachemire.
The topics of the lecture are the following:

* $K3$ surfaces in the Enriques-Kodaira classification.
* Examples; Kummer surfaces.
* Basic properties of $K3$ surfaces; Torelli theorem and surjectivity of the period map.
* The study of automorphisms on $K3$ surfaces: basic facts, examples.
* Symplectic automorphisms of $K3$ surfaces, classification, moduli spaces.

Codes MSC :
14C20 - Divisors, linear systems, invertible sheaves
14C22 - Picard groups
14J10 - Families, moduli, classification: algebraic theory
14J27 - Elliptic surfaces
14J28 - $K3$ surfaces and Enriques surfaces
14J50 - Automorphisms of surfaces and higher-dimensional varieties
14L30 - Group actions on varieties or schemes (quotients)

    Informations sur la Vidéo

    Réalisateur : Hennenfent, Guillaume
    Langue : Anglais
    Date de publication : 07/02/2019
    Date de captation : 28/01/2019
    Collection : Research schools
    Format : MP4 (.mp4) - HD
    Durée : 00:55:55
    Domaine : Algebraic & Complex Geometry
    Audience : Chercheurs ; Etudiants Science Cycle 2 ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2019-01-28-Sarti_1.mp4

Informations sur la rencontre

Nom de la rencontre : Complex geometry: a modern viewpoint / Géométrie complexe : un point de vue moderne
Organisateurs de la rencontre : Keller, Julien ; Roulleau, Xavier ; Rousseau, Erwan
Dates : 28/01/2019 - 01/02/2019
Année de la rencontre : 2019
URL Congrès : https://conferences.cirm-math.fr/2098.html

Citation Data

DOI : 10.24350/CIRM.V.19489603
Cite this video as: Sarti, Alessandra (2019). Topics on $K3$ surfaces - Lecture 1: $K3$ surfaces in the Enriques Kodaira classification and examples. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19489603
URI : http://dx.doi.org/10.24350/CIRM.V.19489603

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