Ressource pédagogique : Jeff Viaclovsky - Deformation theory of scalar-flat Kahler ALE surfaces

Informations pratiques sur cette ressource

Description de la ressource pédagogique

Description (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.

"Domaine(s)" et indice(s) Dewey

• Mathématiques (510)

Thème(s)