Corpus ID: 119131096

Unobstructedness of hyperk\"ahler twistor spaces

@article{Brecan2018UnobstructednessOH,
  title={Unobstructedness of hyperk\"ahler twistor spaces},
  author={Ana-Maria Brecan and Tim Kirschner and M. Schwald},
  journal={arXiv: Algebraic Geometry},
  year={2018}
}
  • Ana-Maria Brecan, Tim Kirschner, M. Schwald
  • Published 2018
  • Mathematics
  • arXiv: Algebraic Geometry
  • 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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