The Bertini irreducibility theorem for higher codimensional slices
Kmentt P, Shute AL. 2022. The Bertini irreducibility theorem for higher codimensional slices. Finite Fields and their Applications. 83(10), 102085.
Download
Journal Article
| Published
| English
Scopus indexed
Author
Department
Abstract
In [3], Poonen and Slavov recently developed a novel approach to Bertini irreducibility theorems over an arbitrary field, based on random hyperplane slicing. In this paper, we extend their work by proving an analogous bound for the dimension of the exceptional locus in the setting of linear subspaces of higher codimensions.
Publishing Year
Date Published
2022-10-01
Journal Title
Finite Fields and their Applications
Volume
83
Issue
10
Article Number
102085
ISSN
eISSN
IST-REx-ID
Cite this
Kmentt P, Shute AL. The Bertini irreducibility theorem for higher codimensional slices. Finite Fields and their Applications. 2022;83(10). doi:10.1016/j.ffa.2022.102085
Kmentt, P., & Shute, A. L. (2022). The Bertini irreducibility theorem for higher codimensional slices. Finite Fields and Their Applications. Elsevier. https://doi.org/10.1016/j.ffa.2022.102085
Kmentt, Philip, and Alec L Shute. “The Bertini Irreducibility Theorem for Higher Codimensional Slices.” Finite Fields and Their Applications. Elsevier, 2022. https://doi.org/10.1016/j.ffa.2022.102085.
P. Kmentt and A. L. Shute, “The Bertini irreducibility theorem for higher codimensional slices,” Finite Fields and their Applications, vol. 83, no. 10. Elsevier, 2022.
Kmentt P, Shute AL. 2022. The Bertini irreducibility theorem for higher codimensional slices. Finite Fields and their Applications. 83(10), 102085.
Kmentt, Philip, and Alec L. Shute. “The Bertini Irreducibility Theorem for Higher Codimensional Slices.” Finite Fields and Their Applications, vol. 83, no. 10, 102085, Elsevier, 2022, doi:10.1016/j.ffa.2022.102085.
All files available under the following license(s):
Creative Commons Attribution 4.0 International Public License (CC-BY 4.0):
Main File(s)
File Name
2022_FiniteFields_Kmentt.pdf
247.62 KB
Access Level
Open Access
Date Uploaded
2023-02-02
MD5 Checksum
3ca88decb1011180dc6de7e0862153e1
Export
Marked PublicationsOpen Data ISTA Research Explorer
Web of Science
View record in Web of Science®Sources
arXiv 2111.06697
Google Scholar