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

### Andreas Leopold Knutsen

University of Bergen, Norway

## 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 $S$.

## Cite this article

Andreas Leopold Knutsen, Global sections of twisted normal bundles of K3 surfaces and their hyperplane sections. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 1, pp. 57–79

DOI 10.4171/RLM/879