Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4945941 | Journal of Symbolic Computation | 2017 | 9 Pages |
Abstract
We prove that the number of real intersection points of a real line with a real plane curve defined by a polynomial with at most t monomials is either infinite or does not exceed 6tâ7. This improves a result by M. Avendaño. Furthermore, we prove that this bound is sharp for t=3 with the help of Grothendieck's dessins d'enfant.
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Physical Sciences and Engineering
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Artificial Intelligence
Authors
Frédéric Bihan, Boulos El Hilany,