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This article is cited in 8 scientific papers (total in 8 papers)
Topology of singularities of a stable real caustic germ of type $E_6$
V. D. Sedykh Gubkin Russian State University of Oil and Gas
Abstract:
We study manifolds of singular points of a fixed type for a stable real
caustic germ of type $E_6$. We prove the contractibility of every connected
component of the manifold of singular points that are not points
of transversal intersection of smooth branches of the caustic and calculate
the number of these components.
Keywords:
Lagrangian maps, caustics, simple singularities, multisingularities,
Euler characteristic, adjacency index.
Received: 26.12.2016 Revised: 04.07.2017
Citation:
V. D. Sedykh, “Topology of singularities of a stable real caustic germ of type $E_6$”, Izv. RAN. Ser. Mat., 82:3 (2018), 154–169; Izv. Math., 82:3 (2018), 596–611
Linking options:
https://www.mathnet.ru/eng/im8643https://doi.org/10.1070/IM8643 https://www.mathnet.ru/eng/im/v82/i3/p154
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Abstract page: | 433 | Russian version PDF: | 34 | English version PDF: | 12 | References: | 47 | First page: | 25 |
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