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Systematic Review

A Survey on the Minimal Number of Singular Fibers of a P1-Semistable Curve

Unidad Académica de Matemáticas, Universidad Autónoma de Zacatecas, Zacatecas CP 98064, Mexico
Mathematics 2024, 12(23), 3647; https://doi.org/10.3390/math12233647
Submission received: 10 October 2024 / Revised: 6 November 2024 / Accepted: 18 November 2024 / Published: 21 November 2024
(This article belongs to the Special Issue Advanced Algebraic Geometry and Applications)

Abstract

Given a semistable and nonisotrivial fibered surface f:XP1, 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.
Keywords: algebraic surfaces; fibrations; singular fibers algebraic surfaces; fibrations; singular fibers

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MDPI and ACS Style

Zamora, A.G. A Survey on the Minimal Number of Singular Fibers of a P1-Semistable Curve. Mathematics 2024, 12, 3647. https://doi.org/10.3390/math12233647

AMA Style

Zamora AG. A Survey on the Minimal Number of Singular Fibers of a P1-Semistable Curve. Mathematics. 2024; 12(23):3647. https://doi.org/10.3390/math12233647

Chicago/Turabian Style

Zamora, Alexis G. 2024. "A Survey on the Minimal Number of Singular Fibers of a P1-Semistable Curve" Mathematics 12, no. 23: 3647. https://doi.org/10.3390/math12233647

APA Style

Zamora, A. G. (2024). A Survey on the Minimal Number of Singular Fibers of a P1-Semistable Curve. Mathematics, 12(23), 3647. https://doi.org/10.3390/math12233647

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