JournalsrlmVol. 31, No. 1pp. 57–79

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

  • Andreas Leopold Knutsen

    University of Bergen, Norway
Global sections of twisted normal bundles of K3 surfaces and their hyperplane sections cover
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Abstract

Let SPgS \subset \mathbb P^g be a smooth K3K3 surface of degree 2g22g-2, g3g \geq 3. We classify all the cases for which h0(NS/Pg(2))0h^0(\mathcal N_{S/\mathbb P^g}(-2)) \neq 0 and the cases for which h0(NS/Pg(2))<h0(NC/Pg1(2))h^0(\mathcal N_{S/\mathbb P^g}(-2)) < h^0(\mathcal N_{C/\mathbb P^{g-1}}(-2)) for CPg1C \subset \mathbb P^{g-1} a general canonical curve section of SS.

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