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Izvestiya: Mathematics, 2002, Volume 66, Issue 1, Pages 151–164
DOI: https://doi.org/10.1070/IM2002v066n01ABEH000375 (Mi im375) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Lefschetz pencils, Morse functions, and Lagrangian embeddings of the Klein bottle

S. Yu. Nemirovski

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (221 kB) Citations (5)
References:
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DOI: https://doi.org/10.1070/IM2002v066n01ABEH000375
Abstract: It is shown that the mod 2 homology class represented by a Lagrangian Klein bottle in a complex algebraic surface is non-zero. In particular, the Klein bottle does not admit a Lagrangian embedding into the standard symplectic four-space.
Received: 05.09.2001
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2002, Volume 66, Issue 1, Pages 153–166
DOI: https://doi.org/10.4213/im375
Bibliographic databases:
Document Type: Article
UDC: 513.8+515.1
MSC: 53D12, 14D05, 32F17
Language: English
Original paper language: Russian
Citation: S. Yu. Nemirovski, “Lefschetz pencils, Morse functions, and Lagrangian embeddings of the Klein bottle”, Izv. RAN. Ser. Mat., 66:1 (2002), 153–166; Izv. Math., 66:1 (2002), 151–164
Citation in format AMSBIB
\Bibitem{Nem02}
\by S.~Yu.~Nemirovski
\paper Lefschetz pencils, Morse functions, and Lagrangian embeddings of the Klein bottle
\jour Izv. RAN. Ser. Mat.
\yr 2002
\vol 66
\issue 1
\pages 153--166
\mathnet{http://mi.mathnet.ru/im375}
\crossref{https://doi.org/10.4213/im375}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1917541}
\zmath{https://zbmath.org/?q=an:1041.53049}
\transl
\jour Izv. Math.
\yr 2002
\vol 66
\issue 1
\pages 151--164
\crossref{https://doi.org/10.1070/IM2002v066n01ABEH000375}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748484719}
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  • https://doi.org/10.1070/IM2002v066n01ABEH000375
  • https://www.mathnet.ru/eng/im/v66/i1/p153
    • This publication is cited in the following 5 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:755
    Russian version PDF:337
    English version PDF:35
    References:96
    First page:1
     
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