Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897326 | Journal of Pure and Applied Algebra | 2018 | 22 Pages |
Abstract
In this article we study rational curves with a unique unibranch genus-g singularity, which is of κ-hyperelliptic type in the sense of [27]; we focus on the cases κ=0 and κ=1, in which the semigroup associated to the singularity is of (sub)maximal weight. We obtain a partial classification of these curves according to the linear series they support, the scrolls on which they lie, and their gonality.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ethan Cotterill, Lia Feital, Renato Vidal Martins,