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A Survey on the Minimal Number of Singular Fibers of a P 1 -Semistable Curve

Author

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  • Alexis G. Zamora

    (Unidad Académica de Matemáticas, Universidad Autónoma de Zacatecas, Zacatecas CP 98064, Mexico)

Abstract

Given a semistable and nonisotrivial fibered surface f : X → P 1 , this paper presents the main results on the problem of determining the minimal number of singular fibers that f must admit. The known examples of fibrations with a low number of singular fibers are presented. Some related problems are briefly discussed.

Suggested Citation

  • Alexis G. Zamora, 2024. "A Survey on the Minimal Number of Singular Fibers of a P 1 -Semistable Curve," Mathematics, MDPI, vol. 12(23), pages 1-9, November.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:23:p:3647-:d:1526428
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