April 11, 2024Open Access

Normal bundles of rational curves in Grassmannians

Key Points

Key points are not available for this paper at this time.

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.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Coşkun et al. (Thu,) studied this question.

synapsesocial.com/papers/68e6f968b6db643587673be2 https://doi.org/https://doi.org/10.48550/arxiv.2404.08102

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Curve classes on conic bundle threefolds and applications to rationality2024 · 2 citations
2Conic bundle threefolds differing by a constant Brauer class and connections to rationality2024
3Rational conic fibrations containing special curves transverse to the fibers2024
4A note on the Brill-Noether loci of small codimension in moduli space of stable bundles2025
5Formal principle with convergence for rational curves of Goursat type2024

Bookmark

View Full Paper