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Izvestiya: Mathematics, 2021, Volume 85, Issue 2, Pages 279–305
DOI: https://doi.org/10.1070/IM9015 (Mi im9015) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On a real caustic of type $E_6$

V. D. Sedykh

Gubkin Russian State University of Oil and Gas (National Research University), Moscow
English version PDF (884 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM9015
Abstract: We prove that the manifold of non-singular points of a stable real caustic germ of type $E_6$ and the manifolds of points of transversal intersection of its smooth branches consist only of contractible connected components. We also calculate the number of these components.
Keywords: Lagrangian map, caustic, singularities of types $A$, $D$, $E$, multisingularities, adjacency index.
Received: 25.01.2020
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2021, Volume 85, Issue 2, Pages 113–141
DOI: https://doi.org/10.4213/im9015
Bibliographic databases:
Document Type: Article
UDC: 512.761+515.16
MSC: 57R45, 58K15, 53D12
Language: English
Original paper language: Russian
Citation: V. D. Sedykh, “On a real caustic of type $E_6$”, Izv. RAN. Ser. Mat., 85:2 (2021), 113–141; Izv. Math., 85:2 (2021), 279–305
Citation in format AMSBIB
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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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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:74
    English version PDF:20
    Russian version HTML:156
    References:35
    First page:14
     
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