Classification of Mukai pairs with corank $3$

Abstract

We classify pairs $(X,\mathcal{E})$ where $X$ is a smooth Fano manifold of dimension $n\ge 5$ and $\mathcal{E}$ is an ample vector bundle of rank $n-2$ on $X$ with $c_1(\mathcal{E})=c_1(X)$.

36 pages; title changed, exposition substantially improved, added references

References in corpus (5)

• On globally generated vector bundles on projective spaces II
• Fano manifolds whose elementary contractions are smooth ${\mathbb{P}}^1$-fibrations: A geometric characterization of flag varieties
• Fano 5-folds with nef tangent bundles
• Extremal rays and nefness of tangent bundles
• Nef vector bundles on a projective space with first Chern class 3 and second Chern class 8

Cited by in corpus (1)

• Classification of Mukai pairs with dimension $4$ and rank $2$