Hyperkaehler and holomorphic symplectic geometry

Details Hyperkaehler and holomorphic symplectic geometry Hyperkaehler and holomorphic symplectic geometry

1993-07-29

arxiv.org/abs/alg-geom/9307009v1

Journ. of Alg. Geom., vol. 5 no. 3 pp. 401-415 (1996)

Mathematics

Algebraic Geometry

12 pages, LaTeX

Scientific paper

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

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