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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
References:
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
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. Math., 85:2 (2021), 279–305
Citation in format AMSBIB
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\by V.~D.~Sedykh
\paper On a~real caustic of type $E_6$
\jour Izv. Math.
\yr 2021
\vol 85
\issue 2
\pages 279--305
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\crossref{https://doi.org/10.1070/IM9015}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85105032671}
Linking options:
  • https://www.mathnet.ru/eng/im9015
  • https://doi.org/10.1070/IM9015
  • https://www.mathnet.ru/eng/im/v85/i2/p113
  • This publication is cited in the following 2 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:346
    Russian version PDF:80
    English version PDF:28
    Russian version HTML:171
    References:44
    First page:14
     
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