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Journal Articles Transactions of the American Mathematical Society Year : 2018

Rational quintics in the real plane

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 R P 2 \mathbb {RP}^2 in the spirit of Hilbert’s 16th problem.

Dates and versions

hal-03983125 , version 1 (10-02-2023)

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Ilia Itenberg, Grigory Mikhalkin, Johannes Rau. Rational quintics in the real plane. Transactions of the American Mathematical Society, 2018, 370 (1), pp.131-196. ⟨10.1090/tran/6938⟩. ⟨hal-03983125⟩
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