Legendrian curves in $\mathbb C P^3$: cubics and curves on a quadric surface
Algebraic Geometry
2025-11-05 v2
Abstract
We prove that the number of legendrian rational cubics in through three generic points and a line is three; also we classify all legendrian curves on a quadric surface. Several computations are additionally verified using Macaulay2 computer algebra system.
Keywords
Cite
@article{arxiv.1607.07486,
title = {Legendrian curves in $\mathbb C P^3$: cubics and curves on a quadric surface},
author = {Nikita Kalinin},
journal= {arXiv preprint arXiv:1607.07486},
year = {2025}
}