Projective manifolds containing a large linear subspace with nef normal bundle

Mathematics – Algebraic Geometry

Scientific paper

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Minor revision. Some changes in the exposition. To appear in Michigan Mathematical Journal

Scientific paper

We classify smooth complex projective varieties $X \subset \proj^N$ of
dimension $2s+1$ containing a linear subspace $\Lambda$ of dimension $s$ whose
normal bundle $N_{\Lambda/X}$ is numerically effective.

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