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Riemann surfaces, Lie algebras and mathematical physics
September 24, 2021, Moscow, Independent University of Moscow, room 310


Return of the plane evolute

B. Z. Shapiro

Stockholm University


https://youtu.be/R_QqVG9dJgI

Abstract: Evolutes of plane algebraic curves are considered. The lower estimates of the following 4 invariants are given:
1) maximal number of real intersection points of the evolute of a degree $d$ curve with a real line;
2) maximal number of real casps of such evolute;
3) maximal number of nodes of such evolute;
4) maximal number of nodes on the curne dual to such evolute.


© Steklov Math. Inst. of RAS, 2024