A Survey on the Minimal Number of Singular Fibers of a <mml:semantics><mml:msup>P1</mml:msup></mml:semantics>-Semistable Curve

被引：0

作者：

Zamora, Alexis G. ^{[1
]}

机构：

[1] Univ Autonoma Zacatecas, Unidad Acad Matemat, Zacatecas 98064, Mexico

来源：

MATHEMATICS | 2024年 / 12卷 / 23期

关键词：

algebraic surfaces; fibrations; singular fibers; SEMISTABLE FIBRATIONS; SURFACES; PENCIL; P-1;

D O I：

10.3390/math12233647

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：9

共 43 条

[41] Optimal <mml:semantics>L(d,1)</mml:semantics>-Labeling of Certain Direct Graph Bundles Cycles over Cycles and Cartesian Graph Bundles Cycles over Cycles
Ladinek, Irena Hrastnik
MATHEMATICS, 2024, 12 (19)
[42] On the minimal number of singular fibers with non-compact Jacobians for families of curves over P1
Lu, Xin
Tan, Sheng-Li
Xu, Wan-Yuan
Zuo, Kang
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2016, 105 (05): : 724 - 733
[43] Semistable fibrations over P1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {P}^1$$\end{document} with five singular fibers
M. Castañeda-Salazar
A. G. Zamora
Boletín de la Sociedad Matemática Mexicana, 2019, 25 (1) : 13 - 19

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