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Izvestiya: Mathematics, 2018, Volume 82, Issue 3, Pages 596–611
DOI: https://doi.org/10.1070/IM8643 (Mi im8643) 		 
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
English version PDF (372 kB) Citations (8)
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DOI: https://doi.org/10.1070/IM8643
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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2018, Volume 82, Issue 3, Pages 154–169
DOI: https://doi.org/10.4213/im8643
Bibliographic databases:
Document Type: Article
UDC: 515.16
MSC: 57R45, 53D12, 58K15
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:433
    Russian version PDF:34
    English version PDF:12
    References:47
    First page:25
     
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