[{"article_type":"original","publisher":"Elsevier","file_date_updated":"2023-02-02T07:56:34Z","quality_controlled":"1","title":"The Bertini irreducibility theorem for higher codimensional slices","intvolume":"        83","publication_status":"published","date_created":"2022-07-24T22:01:41Z","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"TiBr"}],"author":[{"last_name":"Kmentt","first_name":"Philip","full_name":"Kmentt, Philip","id":"c90670c9-0bf0-11ed-86f5-ed522ece2fac"},{"first_name":"Alec L","last_name":"Shute","orcid":"0000-0002-1812-2810","full_name":"Shute, Alec L","id":"440EB050-F248-11E8-B48F-1D18A9856A87"}],"issue":"10","_id":"11636","scopus_import":"1","ddc":["510"],"volume":83,"abstract":[{"text":"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.","lang":"eng"}],"arxiv":1,"doi":"10.1016/j.ffa.2022.102085","day":"01","isi":1,"external_id":{"arxiv":["2111.06697"],"isi":["000835490600001"]},"date_updated":"2023-08-03T12:12:57Z","citation":{"chicago":"Kmentt, Philip, and Alec L Shute. “The Bertini Irreducibility Theorem for Higher Codimensional Slices.” <i>Finite Fields and Their Applications</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.ffa.2022.102085\">https://doi.org/10.1016/j.ffa.2022.102085</a>.","ieee":"P. Kmentt and A. L. Shute, “The Bertini irreducibility theorem for higher codimensional slices,” <i>Finite Fields and their Applications</i>, vol. 83, no. 10. Elsevier, 2022.","ama":"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>","apa":"Kmentt, P., &#38; Shute, A. L. (2022). The Bertini irreducibility theorem for higher codimensional slices. <i>Finite Fields and Their Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.ffa.2022.102085\">https://doi.org/10.1016/j.ffa.2022.102085</a>","ista":"Kmentt P, Shute AL. 2022. The Bertini irreducibility theorem for higher codimensional slices. Finite Fields and their Applications. 83(10), 102085.","short":"P. Kmentt, A.L. Shute, Finite Fields and Their Applications 83 (2022).","mla":"Kmentt, Philip, and Alec L. Shute. “The Bertini Irreducibility Theorem for Higher Codimensional Slices.” <i>Finite Fields and Their Applications</i>, vol. 83, no. 10, 102085, Elsevier, 2022, doi:<a href=\"https://doi.org/10.1016/j.ffa.2022.102085\">10.1016/j.ffa.2022.102085</a>."},"year":"2022","language":[{"iso":"eng"}],"month":"10","article_number":"102085","oa_version":"Published Version","publication":"Finite Fields and their Applications","has_accepted_license":"1","status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"success":1,"relation":"main_file","access_level":"open_access","creator":"dernst","file_id":"12475","checksum":"3ca88decb1011180dc6de7e0862153e1","file_size":247615,"date_created":"2023-02-02T07:56:34Z","file_name":"2022_FiniteFields_Kmentt.pdf","content_type":"application/pdf","date_updated":"2023-02-02T07:56:34Z"}],"oa":1,"publication_identifier":{"eissn":["10902465"],"issn":["10715797"]},"date_published":"2022-10-01T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"}}]