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

[1] On the Covering Radius of Codes over <mml:semantics>Z<mml:msup>pk</mml:msup></mml:semantics>
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[10] Triangle singularity as the origin of X0(2900) and X1(2900) observed in <mml:msup>B+</mml:msup>→<mml:msup>D+</mml:msup><mml:msup>D-</mml:msup><mml:msup>K+</mml:msup>
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EUROPEAN PHYSICAL JOURNAL C, 2020, 80 (12):

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