Topology Atlas | Conferences

Knots in Washington XLVI: 70th Birthday of Oleg Viro;
May 4-6, 2018
George Washington University,
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU)

Conference Homepage


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.