Projective manifolds containing a large linear subspace with nef normal bundle

TL;DR

This paper classifies certain complex projective varieties that contain a large linear subspace with a nef normal bundle, advancing understanding of their geometric structure.

Contribution

It provides a classification of smooth projective varieties with a large linear subspace having a nef normal bundle, a new insight into their geometric properties.

Findings

Classification of varieties with nef normal bundle subspaces

Identification of geometric constraints imposed by nef normal bundles

Extension of known results on subvarieties with positivity conditions

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.