The ideal of curves of genus 2 on rational normal scrolls
Algebraic Geometry
2011-02-16 v1
Abstract
Given a smooth curve of genus 2 embedded in P^(d-2) with a complete linear system of degree d>=6, we list all types of rational normal scrolls arising from linear systems g^1_2 and g^1_3 on C. Furthermore, we give a description of the ideal of such a curve of genus 2 embedded in P^(d-2) as a sum of the ideal of the two-dimensional scroll defined by the unique g^1_2 on C and the ideal of a three-dimensional scroll arising from a g^1_3 on C and not containing the scroll defined by the g^1_2 on C.
Keywords
Cite
@article{arxiv.1102.3156,
title = {The ideal of curves of genus 2 on rational normal scrolls},
author = {Andrea Hofmann},
journal= {arXiv preprint arXiv:1102.3156},
year = {2011}
}
Comments
16 pages