The Bertini irreducibility theorem for higher codimensional slices Kmentt, Philip Shute, Alec L ; https://orcid.org/0000-0002-1812-2810 ddc:510 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. Elsevier 2022 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/11636 https://research-explorer.ista.ac.at/download/11636/12475 Kmentt P, Shute AL. The Bertini irreducibility theorem for higher codimensional slices. <i>Finite Fields and their Applications</i>. 2022;83(10). doi:<a href="https://doi.org/10.1016/j.ffa.2022.102085">10.1016/j.ffa.2022.102085</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1016/j.ffa.2022.102085 info:eu-repo/semantics/altIdentifier/issn/1071-5797 info:eu-repo/semantics/altIdentifier/e-issn/1090-2465 info:eu-repo/semantics/altIdentifier/wos/000835490600001 info:eu-repo/semantics/altIdentifier/arxiv/2111.06697 info:eu-repo/semantics/openAccess