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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
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
Citation:
Yu. M. Burman, M. Polyak, “Geometry of Whitney-type formulas”, Mosc. Math. J., 3:3 (2003), 823–832
Linking options:
https://www.mathnet.ru/eng/mmj110 https://www.mathnet.ru/eng/mmj/v3/i3/p823
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Abstract page: | 406 | Full-text PDF : | 1 | References: | 55 |
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