Corpus ID: 119654923

Special lines on contact manifolds

@article{Buczynski2014SpecialLO,
  title={Special lines on contact manifolds},
  author={J. Buczynski and Grzegorz Kapustka and Michał Kapustka},
  journal={arXiv: Algebraic Geometry},
  year={2014}
}
In a series of two articles Kebekus studied deformation theory of minimal rational curves on contact Fano manifolds. Such curves are called contact lines. Kebekus proved that a contact line through a general point is necessarily smooth and has a fixed standard splitting type of the restricted tangent bundle. In this paper we study singular contact lines and those with special splitting type. We provide restrictions on the families of such lines, and on contact Fano varieties which have… Expand

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