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Izvestiya: Mathematics, 2004, Volume 68, Issue 3, Pages 521–542
DOI: https://doi.org/10.1070/IM2004v068n03ABEH000487 (Mi im487) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Regular homotopy of Hurwitz curves

Vik. S. Kulikova, D. Aurouxb, V. V. Shevchishinc

a Steklov Mathematical Institute, Russian Academy of Sciences
b Massachusetts Institute of Technology
c Ruhr-Universität Bochum
English version PDF (331 kB) Citations (11)
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DOI: https://doi.org/10.1070/IM2004v068n03ABEH000487
Abstract: We prove that any two irreducible cuspidal Hurwitz curves $C_0$ and $C_1$ (or, more generally, two curves with $A$-type singularities) in the Hirzebruch surface $\boldsymbol F_N$ with the same homology classes and sets of singularities are regular homotopic. Moreover, they are symplectically regular homotopic if $C_0$ and $C_1$ are symplectic with respect to a compatible symplectic form.
Received: 13.01.2004
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2004, Volume 68, Issue 3, Pages 91–114
DOI: https://doi.org/10.4213/im487
Bibliographic databases:
Document Type: Article
UDC: 512.722.1+514.756.44
MSC: 32Q65, 53D05, 58D27, 14H10
Language: English
Original paper language: Russian
Citation: Vik. S. Kulikov, D. Auroux, V. V. Shevchishin, “Regular homotopy of Hurwitz curves”, Izv. RAN. Ser. Mat., 68:3 (2004), 91–114; Izv. Math., 68:3 (2004), 521–542
Citation in format AMSBIB
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    • This publication is cited in the following 11 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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    Abstract page:586
    Russian version PDF:246
    English version PDF:14
    References:81
    First page:1
     
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