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arXiv · 2411.16664

Slope semistability of Veronese normal bundles

Ray Shang
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Abstract

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.

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Ray Shang. 2024-11-25. Slope semistability of Veronese normal bundles. https://arxiv.org/abs/2411.16664

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