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.

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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
2022-07-25
Journal Title
Finite Fields and their Applications
Volume
83
Issue
10
Article Number
102085
ISSN
eISSN
IST-REx-ID

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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.

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