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Moscow Mathematical Journal, 2003, Volume 3, Number 3, Pages 823–832
DOI: https://doi.org/10.17323/1609-4514-2003-3-3-823-832 (Mi mmj110) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Geometry of Whitney-type formulas

Yu. M. Burmana, M. Polyakb

a Independent University of Moscow
b Department of Mathematics, Technion — Israel Institute of Technology
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DOI: https://doi.org/10.17323/1609-4514-2003-3-3-823-832
Abstract: The article contains a generalization of the classical Whitney formula for the number of double points of a plane curve. This formula is split into a series of equalities, and also extended to curves on a torus, to non-pointed curves, and to wave fronts. All the theorems are given geometric proofs employing logarithmic Gauss-type maps from suitable configuration spaces to $\mathbb C$.
Key words and phrases: Plane curves, Whitney formula, Gauss map, intersection index.
Received: March 3, 2003
Bibliographic databases:
MSC: 57M25, 57N35
Language: English
Citation: Yu. M. Burman, M. Polyak, “Geometry of Whitney-type formulas”, Mosc. Math. J., 3:3 (2003), 823–832
Citation in format AMSBIB
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\by Yu.~M.~Burman, M.~Polyak
\paper Geometry of Whitney-type formulas
\jour Mosc. Math.~J.
\yr 2003
\vol 3
\issue 3
\pages 823--832
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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