J. Viaclovsky - Deformation theory of scalar-flat Kahler ALE surfaces - Archive ouverte HAL Accéder directement au contenu
Vidéo Année : 2016

J. Viaclovsky - Deformation theory of scalar-flat Kahler ALE surfaces

Afficher 

Fanny Bastien
Pauline Martinet
  • Fonction : Monteur
  • PersonId : 987134

Résumé

I will discuss a Kuranishi-type theorem for deformations of complex structure on ALE Kahler surfaces, which will be used to prove that for any scalar-flat Kahler ALE surface, all small deformations of complex structure also admit scalar-flat Kahler ALE metrics. A local moduli space of scalar-flat Kahler ALE metrics can then be constructed, which is universal up to small diffeomorphisms. I will also discuss a formula for the dimension of the local moduli space in the case of a scalar-flat Kahler ALE surface which deforms to a minimal resolution of an isolated quotient singularity. This is joint work with Jiyuan Han.

Dates et versions

medihal-01347622 , version 1 (21-07-2016)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

  • HAL Id : medihal-01347622 , version 1

Citer

Viaclovsky Jeff, Fanny Bastien, Pauline Martinet. J. Viaclovsky - Deformation theory of scalar-flat Kahler ALE surfaces : Summer School 2016 - Geometric analysis, metric geometry and topology. 2016. ⟨medihal-01347622⟩
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