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.
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页数：9
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