New examples of curves with a one-dimensional family of pencils of minimal degree (Q636803)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: New examples of curves with a one-dimensional family of pencils of minimal degree |
scientific article; zbMATH DE number 5944309
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New examples of curves with a one-dimensional family of pencils of minimal degree |
scientific article; zbMATH DE number 5944309 |
Statements
New examples of curves with a one-dimensional family of pencils of minimal degree (English)
0 references
30 August 2011
0 references
Let \(S\) be a \(K3\) surface with Picard number 1. Assume that the generator \(H\) of the Picard group satisfies \(H^2\geq 4\). In this paper it is proved that \(|mH|\) contains a sub-linear system such that each smooth member \(C\) satisfies \(\dim W^1_{gon(C)}(C)=1\).
0 references
curves on \(K3\) surfaces
0 references
gonality
0 references
Brill-Noether theory
0 references
