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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
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
Citation:
Vik. S. Kulikov, D. Auroux, V. V. Shevchishin, “Regular homotopy of Hurwitz curves”, Izv. Math., 68:3 (2004), 521–542
Linking options:
https://www.mathnet.ru/eng/im487https://doi.org/10.1070/IM2004v068n03ABEH000487 https://www.mathnet.ru/eng/im/v68/i3/p91
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Abstract page: | 627 | Russian version PDF: | 252 | English version PDF: | 20 | References: | 87 | First page: | 1 |
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