Unobstructedness of hyperkähler twistor spaces

2018/10/02 by Brecan, Ana-Maria, Kirschner, Tim, Schwald, Martin
#32G05 #32L25 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.01031

Abstract

A 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.

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