{"intvolume":"        83","article_processing_charge":"Yes (via OA deal)","scopus_import":"1","date_updated":"2023-08-03T12:12:57Z","publication_identifier":{"eissn":["10902465"],"issn":["10715797"]},"doi":"10.1016/j.ffa.2022.102085","month":"10","publication":"Finite Fields and their Applications","article_number":"102085","date_published":"2022-10-01T00:00:00Z","quality_controlled":"1","department":[{"_id":"TiBr"}],"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"}],"oa":1,"publisher":"Elsevier","file_date_updated":"2023-02-02T07:56:34Z","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"has_accepted_license":"1","oa_version":"Published Version","volume":83,"day":"01","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_type":"original","issue":"10","language":[{"iso":"eng"}],"date_created":"2022-07-24T22:01:41Z","_id":"11636","publication_status":"published","author":[{"last_name":"Kmentt","first_name":"Philip","full_name":"Kmentt, Philip","id":"c90670c9-0bf0-11ed-86f5-ed522ece2fac"},{"orcid":"0000-0002-1812-2810","id":"440EB050-F248-11E8-B48F-1D18A9856A87","full_name":"Shute, Alec L","first_name":"Alec L","last_name":"Shute"}],"ddc":["510"],"external_id":{"arxiv":["2111.06697"],"isi":["000835490600001"]},"isi":1,"file":[{"creator":"dernst","file_id":"12475","file_name":"2022_FiniteFields_Kmentt.pdf","access_level":"open_access","checksum":"3ca88decb1011180dc6de7e0862153e1","success":1,"content_type":"application/pdf","file_size":247615,"relation":"main_file","date_created":"2023-02-02T07:56:34Z","date_updated":"2023-02-02T07:56:34Z"}],"status":"public","citation":{"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.","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>.","ista":"Kmentt P, Shute AL. 2022. The Bertini irreducibility theorem for higher codimensional slices. Finite Fields and their Applications. 83(10), 102085.","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>.","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>","short":"P. Kmentt, A.L. Shute, Finite Fields and Their Applications 83 (2022)."},"type":"journal_article","title":"The Bertini irreducibility theorem for higher codimensional slices","year":"2022"}