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arXiv · 1509.05228

Rational quintics in the real plane

Ilia Itenberg·Grigory Mikhalkin·Johannes Rau
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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 $\mathbb{RP}^2$ in the spirit of Hilbert's 16th problem.

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Ilia Itenberg, Grigory Mikhalkin, Johannes Rau. 2016-03-23. Rational quintics in the real plane. https://doi.org/10.1090/tran%2F6938

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