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Stability of Normal Bundles of Space Curves
- Source :
- Alg. Number Th. 16 (2022) 919-953
- Publication Year :
- 2020
-
Abstract
- In this paper, we prove that the normal bundle of a general Brill-Noether space curve of degree $d$ and genus $g \geq 2$ is stable if and only if $(d,g) \not\in \{ (5,2), (6,4) \}$. When $g\leq1$ and the characteristic of the ground field is zero, it is classical that the normal bundle is strictly semistable. We show that this fails in characteristic $2$ for all rational curves of even degree.<br />Comment: 29 pages
- Subjects :
- Mathematics - Algebraic Geometry
14H50, 14H60
Subjects
Details
- Database :
- arXiv
- Journal :
- Alg. Number Th. 16 (2022) 919-953
- Publication Type :
- Report
- Accession number :
- edsarx.2003.02964
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.2140/ant.2022.16.919