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math.AG2018
Unobstructedness of hyperkähler twistor spaces
Ana-Maria Brecan, Tim Kirschner, Martin Schwald
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 par…
math.AG2012★ 6 cited
Irreducible symplectic complex spaces
Tim Kirschner
In chapter 1 we define period mappings of Hodge-de Rahm type for certain submersive, yet not necessarily locally topologically trivial, morphisms of complex manifolds. Generalizing…