Singular Curves on K3 Surfaces

We investigate the Clifford index of singular curves on K3 surfaces by following the lines of [10]. As a consequence, we are able to deduce from [3] that Green's conjecture holds for all integral curves on K3 surfaces.   2000 Mathematics Subject Classification. 14H51

Saved in:
Bibliographic Details
Published inSarajevo journal of mathematics Vol. 6; no. 2; pp. 165 - 168
Main Authors Ballico, E., Fontanari, C., Tasin, L.
Format Journal Article
LanguageEnglish
Published 11.06.2024
Online AccessGet full text
ISSN1840-0655
2233-1964
DOI10.5644/SJM.06.2.02

Cover

More Information
Summary:We investigate the Clifford index of singular curves on K3 surfaces by following the lines of [10]. As a consequence, we are able to deduce from [3] that Green's conjecture holds for all integral curves on K3 surfaces.   2000 Mathematics Subject Classification. 14H51
ISSN:1840-0655
2233-1964
DOI:10.5644/SJM.06.2.02