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arxiv: alg-geom/9307009 · v1 · submitted 1993-07-29 · alg-geom · math.AG

Hyperkaehler and holomorphic symplectic geometry

Misha Verbitsky This is my paper
classification alg-geom math.AG
keywords hyperkaehlersubvarietiessymplecticanalyticcompactcomplexeven-dimensionalgeneric
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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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