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Riemann surfaces, Lie algebras and mathematical physics
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Return of the plane evolute B. Z. Shapiro Stockholm University |
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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 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. |