English

Hyperkaehler and holomorphic symplectic geometry

alg-geom 2008-02-03 v1 Algebraic Geometry

Abstract

We prove that all complex analytic subvarieties of a generic compact hyperkaehler manifold are even-dimensional. Moreover, these subvarieties are holomorphically symplectic.

Keywords

Cite

@article{arxiv.alg-geom/9307009,
  title  = {Hyperkaehler and holomorphic symplectic geometry},
  author = {Misha Verbitsky},
  journal= {arXiv preprint arXiv:alg-geom/9307009},
  year   = {2008}
}

Comments

12 pages, LaTeX