Erratum to “Bertini irreducibility theorems over finite fields”
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- by François Charles and Bjorn Poonen
- J. Amer. Math. Soc. 32 (2019), 605-607
- DOI: https://doi.org/10.1090/jams/912
- Published electronically: November 1, 2018
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Original Article: J. Amer. Math. Soc. 29 (2016), 81-94.
Abstract:
We indicate how to correct the proof of Lemma 5.1 in our published article Bertini irreducibility theorems over finite fields, J. Amer. Math. Soc. 29 (2016), no. 1, 81–94. The main results are unchanged.References
- François Charles and Bjorn Poonen, Bertini irreducibility theorems over finite fields, J. Amer. Math. Soc. 29 (2016), no. 1, 81–94. MR 3402695, DOI 10.1090/S0894-0347-2014-00820-1
- Serge Lang, Sur les séries $L$ d’une variété algébrique, Bull. Soc. Math. France 84 (1956), 385–407 (French). MR 88777, DOI 10.24033/bsmf.1477
- Michel Raynaud, Anneaux locaux henséliens, Lecture Notes in Mathematics, Vol. 169, Springer-Verlag, Berlin-New York, 1970 (French). MR 0277519
Bibliographic Information
- François Charles
- Affiliation: CNRS, Laboratoire de Mathématiques d’Orsay, Université Paris-Sud, 91405 Orsay CEDEX, France
- Email: francois.charles@math.u-psud.fr
- Bjorn Poonen
- Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139-4307
- MR Author ID: 250625
- ORCID: 0000-0002-8593-2792
- Email: poonen@math.mit.edu
- Received by editor(s): August 1, 2017
- Published electronically: November 1, 2018
- Additional Notes: This research was supported in part by National Science Foundation grants DMS-1069236 and DMS-1601946.
The second author was supported by a grant from the Simons Foundation (#402472). - © Copyright 2018 American Mathematical Society
- Journal: J. Amer. Math. Soc. 32 (2019), 605-607
- MSC (2010): Primary 14J70; Secondary 14N05
- DOI: https://doi.org/10.1090/jams/912
- MathSciNet review: 3904161