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arXiv · 1811.09805

Global sections of twisted normal bundles of K3 surfaces and their hyperplane sections

Andreas Leopold Knutsen
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Abstract

Let $S \subset \mathbb{P}^g$ be a smooth $K3$ surface of degree $2g-2$, $g \geq 3$. We classify all the cases for which $h^0(\mathcal{N}_{S/\mathbb{P}^g}(-2)) \neq 0$ and the cases for which $h^0(\mathcal{N}_{S/\mathbb{P}^g}(-2)) < h^0(\mathcal{N}_{C/\mathbb{P}^{g-1}}(-2))$ for $C \subset \mathbb{P}^{g-1}$ a general canonical curve section of $S$.

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Andreas Leopold Knutsen. 2018-11-24. Global sections of twisted normal bundles of K3 surfaces and their hyperplane sections. https://arxiv.org/abs/1811.09805

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