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 e-prints
- Pub Date:
- April 2024
- DOI:
- 10.48550/arXiv.2404.08102
- arXiv:
- arXiv:2404.08102
- Bibcode:
- 2024arXiv240408102C
- Keywords:
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- Mathematics - Algebraic Geometry;
- 14H60;
- 14M15