On Artin’s conjecture: Linear slices of diagonal hypersurfaces
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- by Jörg Brüdern and Olivier Robert PDF
- Trans. Amer. Math. Soc. 372 (2019), 1867-1911 Request permission
Abstract:
Artin’s conjecture is established for all forms that can be realised as a diagonal form on a hyperplane.References
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Additional Information
- Jörg Brüdern
- Affiliation: Universität Göttingen, Mathematisches Institut, Bunsenstr. 3–5, D 37073 Göttingen, Germany
- Email: bruedern@uni-math.gwdg.de
- Olivier Robert
- Affiliation: Université de Lyon and Université de Saint-Etienne, Institut Camille Jordan CNRS UMR 5208, 23, rue du Dr P. Michelon, F-42000, Saint-Etienne, France
- MR Author ID: 663774
- Email: olivier.robert@univ-st-etienne.fr
- Received by editor(s): July 1, 2017
- Received by editor(s) in revised form: June 2, 2018, and June 11, 2018
- Published electronically: May 9, 2019
- Additional Notes: The authors are grateful to their home institutions for support on the occasion of mutual visits during the period when this paper was conceived.
The first author acknowledges with gratitude support by Deutsche Forschungsgemeinschaft and Schweizer Nationalfond. - © Copyright 2019 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 372 (2019), 1867-1911
- MSC (2010): Primary 11E76, 11E95; Secondary 11D79
- DOI: https://doi.org/10.1090/tran/7635
- MathSciNet review: 3976580