Rational quintics in the real plane
Algebraic Geometry
2019-10-14 v3
Abstract
From a topological viewpoint, a rational curve in the real projective plane is generically a smoothly immersed circle and a finite collection of isolated points. We give an isotopy classification of generic rational quintics in in the spirit of Hilbert's 16th problem.
Cite
@article{arxiv.1509.05228,
title = {Rational quintics in the real plane},
author = {Ilia Itenberg and Grigory Mikhalkin and Johannes Rau},
journal= {arXiv preprint arXiv:1509.05228},
year = {2019}
}
Comments
73 pages, update to accepted version (Transactions of the AMS)