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On the stable reduction of pencils of curves

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References

  1. Artin, M., Winters, G.: Degenerate fibres and stable reduction of curves. Topology10, 373–383 (1971)

    Article  MATH  MathSciNet  Google Scholar 

  2. Deligne, P., Mumford, D.: The irreducibility of the space of curves of given genus. Publ. Math. Inst. Hautes Etud. Sci.36, 75–109 (1969)

    MATH  MathSciNet  Google Scholar 

  3. Harvey, W.J.: Cyclic groups of automorphisms of a compact Riemann surface. Quart. J. Math. Oxford 2/17, 86–97 (1966)

    Article  MathSciNet  Google Scholar 

  4. Ogg, A.P.: On pencils of curves of genus two. Topology5, 355–362 (1975)

    Article  MathSciNet  Google Scholar 

  5. Wiman, A.: Über die hyperelliptischen Kurven und diejenigen von GeschlechtP=3, welche eindeutige Transformationen in sich zulassen. Bihang Till. Kongl. Svenska Vetenskaps-Akademiens Hadlingar21, 1–23 (1895/96)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, East China Normal University, 200062, Shanghai, People’s Republic of China

    Gang Xiao

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  1. Gang Xiao
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Additional information

This work was done under the support of NSF grant no. 8505550, while the author was at the Mathematical Sciences Research Institute. Also partly supported by the Chinese Natural Science Funds no. 1860430

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Xiao, G. On the stable reduction of pencils of curves. Math Z 203, 379–389 (1990). https://doi.org/10.1007/BF02570745

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  • DOI: https://doi.org/10.1007/BF02570745

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