1. Stability of Normal Bundles of Space Curves
- Author
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Izzet Coskun, Eric Larson, and Isabel Vogt
- Subjects
Mathematics - Algebraic Geometry ,Algebra and Number Theory ,Mathematics::Algebraic Geometry ,FOS: Mathematics ,Algebraic Geometry (math.AG) ,14H50, 14H60 ,Uncategorized - 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., 29 pages
- Published
- 2022
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