Normal bundles of rational curves in Grassmannians
Algebraic Geometry
2024-04-15 v1
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.
Cite
@article{arxiv.2404.08102,
title = {Normal bundles of rational curves in Grassmannians},
author = {Izzet Coskun and Eric Larson and Isabel Vogt},
journal= {arXiv preprint arXiv:2404.08102},
year = {2024}
}