Hyperkaehler Embeddings II

Details Hyperkaehler Embeddings II Hyperkaehler Embeddings II

1994-03-06

arxiv.org/abs/alg-geom/9403006v1

GAFA vol. 5 no. 1 (1995) pp. 92-104

Mathematics

Algebraic Geometry

14 pp, LaTeX 2.09

Scientific paper

In the first part, Hyperkaehler Embeddings and Holomorphic symplectic Geometry I, we prove the following. Let $N$ be a closed analytic subvariety of a generic deformation of a holomorphically symplectic compact manifold $M$. Then the restriction of a holomorphic symplectic form is non-degenerate on $N$. In particular, $N$ is even-dimensional. In present paper, we prove that there exist a hyperkaehler metric on $M$, such that the embedding of $N$ to $M$ is hyperkaehler.

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