Slope semistability of Veronese normal bundles
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916494995095552 |
|---|---|
| author | Shang, Ray |
| author_facet | Shang, Ray |
| contents | A classical fact is that normal bundles of rational normal curves are well-balanced. We generalize this by proving that all Veronese normal bundles are slope semistable. We also determine the line bundle decomposition of the restriction of degree 2 Veronese normal bundles to lines and rational normal curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16664 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Slope semistability of Veronese normal bundles Shang, Ray Algebraic Geometry A classical fact is that normal bundles of rational normal curves are well-balanced. We generalize this by proving that all Veronese normal bundles are slope semistable. We also determine the line bundle decomposition of the restriction of degree 2 Veronese normal bundles to lines and rational normal curves. |
| title | Slope semistability of Veronese normal bundles |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2411.16664 |