The space of twisted cubics
Algebraic Geometry
2024-09-25 v4
Abstract
We consider the Cohen-Macaulay compactification of the space of twisted cubics in projective n-space. This compactification is the fine moduli scheme representing the functor of CM-curves with Hilbert polynomial 3t+1. We show that the moduli scheme of CM-curves in projective 3-space is isomorphic to the twisted cubic component of the Hilbert scheme. We also describe the compactification for twisted cubics in n-space.
Keywords
Cite
@article{arxiv.1904.01102,
title = {The space of twisted cubics},
author = {Katharina Heinrich and Roy Skjelnes and Jan Stevens},
journal= {arXiv preprint arXiv:1904.01102},
year = {2024}
}
Comments
22 pages. Final version