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Finite real algebraic curves
by
Ilia Itenberg
Sorbonne Université, Paris
The talk is devoted to real plane algebraic curves with finitely many real points.
We study the following question: what is the maximal possible number of real points
of such a curve provided that it has given (even) degree and given geometric genus?
We obtain a complete answer in the case where the degree is sufficiently large
with respect to the genus, and prove certain lower and upper bounds for the number in question
in the general case.
This is a joint work with E. Brugallé, A. Degtyarev and F. Mangolte.
Date received: April 20, 2018
Copyright © 2018 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cboy-23.