The Bertini irreducibility theorem for higher codimensional slices
Algebraic Geometry
2021-11-15 v1 Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2111.06697,
title = {The Bertini irreducibility theorem for higher codimensional slices},
author = {Philip Kmentt and Alec Shute},
journal= {arXiv preprint arXiv:2111.06697},
year = {2021}
}
Comments
6 pages