New examples of curves with a one-dimensional family of pencils of minimal degree

We give a geometric construction of sub-linear systems on a K3 surface consisting of smooth curves C with infinitely many g1 gon(C)’s.

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Bibliographic Details
Main Author: Rasmussen, Nils Henry
Format: Article
Language:English
Subjects:
Brill–Noether theory
Curves on K3 surfaces
Online Access:Request full text
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Description
Summary:We give a geometric construction of sub-linear systems on a K3 surface consisting of smooth curves C with infinitely many g1 gon(C)’s.