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

Given a semistable and nonisotrivial fibered surface f:X→P1, 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.

Authors

Alexis G. Zamora (ORCID: https://orcid.org/0000-0002-3983-1990)

Institutions

Universidad Autónoma de Zacatecas "Francisco García Salinas" (MX)

Publication Details

Journal: Mathematics
Published: 2024-11-21
DOI: https://doi.org/10.3390/math12233647
Primary Topic: Mathematical Dynamics and Fractals
Type: article
Field-Weighted Citation Impact: 0.00

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article

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

Alexis G. Zamora

Nov 21, 2024

Mathematics

Mathematical Dynamics and Fractals

article

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

Alexis G. Zamora

November 21, 2024article en

Abstract

MathematicsVol. 12(23)

Universidad Autónoma de Zacatecas "Francisco García Salinas" (MX)

Reduced inequalities

Openalex Percentile: Top 65%

Mathematical Dynamics and Fractals

DOI Open Access PDF OpenAlex

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A Survey on the Minimal Number of Singular Fibers of a P1-Semistable Curve — Alexis G. Zamora · Mathematics (2024) | TGRS Research Map | TGRS