On curves on K3 surfaces: III

Martens G (2020)

Publication Type: Journal article

Publication year: 2020

Journal

Archiv der Mathematik Springer Verlag (Germany)

DOI: 10.1007/s00013-020-01496-7

Abstract

Let C be a smooth curve of degree d lying on a smooth surface in projective space. Exploiting a criterion due to I. Reider we study when the divisors in a linear series of degree d≤ d on C are contained in hyperplanes. For a K3 surface S with Picard group Z2 we succeed if S contains a line.

Authors with CRIS profile

Gerriet Martens Naturwissenschaftliche Fakultät

How to cite

APA:

Martens, G. (2020). On curves on K3 surfaces: III. Archiv der Mathematik. https://dx.doi.org/10.1007/s00013-020-01496-7

MLA:

Martens, Gerriet. "On curves on K3 surfaces: III." Archiv der Mathematik (2020).

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