Algebraic Geometry Seminar
Deformations and BBF form on non-Kähler holomorphically symplectic manifolds
Speaker: Nikon Kurnosov
Location: Warren Weaver Hall 317
Date: Tuesday, April 16, 2019, 3:30 p.m.
D. Guan has constructed examples of non-Kähler,
simply-connected holomorphically symplectic manifolds from Kodaira surface. Another construction,
using the Hilbert scheme of Kodaira-Thurston surface,
was given by F. Bogomolov. I will discuss deformation theory
of these manifolds, in particular, that holomorphically symplectic deformations
of these manifolds are unobstructed. Using this we obtain local Torelli
theorem, which implies existence of symmetric quadratic form q
on H^2 (M) analogous to BBF-form of hyperkähler manifolds. This is
joint work with M. Verbitsky.