Fano manifolds of coindex three admitting nef tangent bundle

TL;DR

This paper proves that all Fano manifolds with coindex three and nef tangent bundle are homogeneous, establishing a significant classification result in algebraic geometry.

Contribution

It demonstrates that such Fano manifolds are necessarily homogeneous, a new classification insight for manifolds with nef tangent bundles.

Findings

All Fano manifolds of coindex three with nef tangent bundle are homogeneous.

Provides a classification result linking nef tangent bundles to homogeneity.

Advances understanding of the structure of Fano manifolds with special positivity properties.

Abstract

We prove that any Fano manifold of coindex three admitting nef tangent bundle is homogeneous.