Contact of circles with surfaces: answers to a question of montaldi

ASIAN JOURNAL OF MATHEMATICS（2022）

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摘要

We answer a question raised by J. Montaldi in 1986 as to the exact upper bound on the number of circles which can have 5-point contact with a generic smooth surface M in R-3, at a point of M.

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关键词

surface, circle, contact, roots of polynomials, distance-squared function, Euclidean, generic geometry, higher vertex

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