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Intersecting Curves (Variation on an Observation of Maxim Kontsevich)

Étienne Ghys
The American Mathematical Monthly
Vol. 120, No. 3 (March 2013), pp. 232-242
DOI: 10.4169/amer.math.monthly.120.03.232
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.120.03.232
Page Count: 11
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Intersecting Curves (Variation on an Observation of
Maxim Kontsevich)
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Abstract

Abstract Consider the graphs of n distinct polynomials of a real variable intersecting at some point. In the neighborhood of this point, the qualitative picture is described by some permutation of (1, …, n). We describe the permutations that occur in such a situation.

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