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Izvestiya: Mathematics, 2012, Volume 76, Issue 2, Pages 375–418
DOI: https://doi.org/10.1070/IM2012v076n02ABEH002588 (Mi im4572) 		 
This article is cited in 13 scientific papers (total in 13 papers)

On the topology of wave fronts in spaces of low dimension

V. D. Sedykh

Gubkin Russian State University of Oil and Gas
English version PDF (688 kB) Citations (13)
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DOI: https://doi.org/10.1070/IM2012v076n02ABEH002588
Abstract: We calculate the adjacency indices of the singularities of generic wave fronts in spaces of dimension $n\le6$. As a corollary, we find new conditions for the coexistence of singularities of wave fronts.
Keywords: Legendrian maps, wave fronts, (multi)singularities, adjacency index, Euler characteristic.
Received: 07.05.2010
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2012, Volume 76, Issue 2, Pages 171–214
DOI: https://doi.org/10.4213/im4572
Bibliographic databases:
Document Type: Article
UDC: 515.16
MSC: 57R45, 53D35, 58K05
Language: English
Original paper language: Russian
Citation: V. D. Sedykh, “On the topology of wave fronts in spaces of low dimension”, Izv. RAN. Ser. Mat., 76:2 (2012), 171–214; Izv. Math., 76:2 (2012), 375–418
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2012v076n02ABEH002588
  • https://www.mathnet.ru/eng/im/v76/i2/p171
    • This publication is cited in the following 13 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:644
    Russian version PDF:228
    English version PDF:22
    References:84
    First page:33
     
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