A Survey on the Minimal Number of Singular Fibers of a P 1 -Semistable Curve

Alexis G. Zamora ()
Additional contact information
Alexis G. Zamora: Unidad Académica de Matemáticas, Universidad Autónoma de Zacatecas, Zacatecas CP 98064, Mexico

Mathematics, 2024, vol. 12, issue 23, 1-9

Abstract: Given a semistable and nonisotrivial fibered surface f : X → P 1 , 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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/23/3647/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/23/3647/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:23:p:3647-:d:1526428

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().