Strictly nef vector bundles and characterizations of ℙⁿ

2020/09/02 by Jie Liu, Liu, Jie, Wenhao Ou +3
Mathematics · #14H30 #14J60 #32Q57 #53C55 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2009.01052

openalex publication_date 2020/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we give a brief exposition on the differences and similarities between strictly nef and ample vector bundles, with particular focus on the circle of problems surrounding the geometry of projective manifolds with strictly nef bundles.

Related

• Characterizations of projective spaces and quadrics by strictly nef bundles
• Strictly Nef Divisors
• Generically nef vector bundles and geometric applications
• On projective varieties with strictly nef tangent bundles
• Strictly nef divisors and some remarks on a conjecture of Serrano