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Counting higher order tangencies for plane curves
Published online by Cambridge University Press: 26 November 2019
Abstract
We prove that n plane algebraic curves determine O(n(k+2)/(k+1)) points of kth order tangency. This generalizes an earlier result of Ellenberg, Solymosi and Zahl on the number of (first order) tangencies determined by n plane algebraic curves.
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- © Cambridge University Press 2019
Footnotes
Supported by a NSERC Discovery Grant.