Normal bundles of rational curves in Grassmannians
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.
 Publication:

arXiv eprints
 Pub Date:
 April 2024
 DOI:
 10.48550/arXiv.2404.08102
 arXiv:
 arXiv:2404.08102
 Bibcode:
 2024arXiv240408102C
 Keywords:

 Mathematics  Algebraic Geometry;
 14H60;
 14M15