Normal bundles of rational curves in Grassmannians

2024/04/11 by İzzet Coşkun, Coskun, Izzet, Eric Larson +3 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #14H60 #14M15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Biological Activity of Diterpenoids and Biflavonoids #FOS: Mathematics #Phytoestrogen effects and research

paper · pdf · doi:10.48550/arxiv.2404.08102

openalex publication_date 2024/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In projective space over fields of characteristic different from 2, the normal bundle of a general nondegenerate rational curve is balanced. The corresponding statement for rational curves in other Grassmannians can fail. Nevertheless, we prove that the normal bundle of a general rational curve in a Grassmannian decomposes into a direct sum of line bundles whose degrees are at most 2 apart.

Cited by

• Restricted tangent bundle of rational curves on projective hypersurfaces

Related

• Normal bundles of rational curves in projective spaces
• Normal bundles of rational curves in projective space
• Normal Bundles of Rational Normal Curves on Hypersurfaces
• Minimal rational curves in moduli spaces of stable bundles
• On rational curves in n-space with given normal bundle