Unobstructedness of hyperkähler twistor spaces

Author:

Brecan Ana-Maria,Kirschner Tim,Schwald Martin

Abstract

AbstractA family of irreducible holomorphic symplectic (ihs) manifolds over the complex projective line has unobstructed deformations if its period map is an embedding. This applies in particular to twistor spaces of ihs manifolds. Moreover, a family of ihs manifolds over a subspace of the period domain extends to a universal family over an open neighborhood in the period domain.

Funder

Universität Duisburg-Essen

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

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