Projective manifolds containing a large linear subspace with nef normal bundle

Abstract

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.

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

References in corpus (2)

• The cone of curves of Fano varieties of coindex four
• Manifolds covered by lines and extremal rays

Cited by in corpus (5)

• Manifolds covered by lines and extremal rays
• Classification of Mukai pairs with corank $3$
• Special birational transformations of type (2,1)
• Remarks on defective Fano manifolds
• An invariant for embedded Fano manifolds covered by linear spaces