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15 November 2017 Hasse principle for three classes of varieties over global function fields
Zhiyu Tian
Duke Math. J. 166(17): 3349-3424 (15 November 2017). DOI: 10.1215/00127094-2017-0034

Abstract

We give a geometric proof that the Hasse principle holds for the following varieties defined over global function fields: smooth quadric hypersurfaces, smooth cubic hypersurfaces of dimension at least 4 in characteristic at least 7, and smooth complete intersections of two quadrics, which are of dimension at least 3, in odd characteristics.

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Zhiyu Tian. "Hasse principle for three classes of varieties over global function fields." Duke Math. J. 166 (17) 3349 - 3424, 15 November 2017. https://doi.org/10.1215/00127094-2017-0034

Information

Received: 29 September 2015; Revised: 20 August 2016; Published: 15 November 2017
First available in Project Euclid: 19 September 2017

zbMATH: 06825582
MathSciNet: MR3724220
Digital Object Identifier: 10.1215/00127094-2017-0034

Subjects:
Primary: 14M22
Secondary: 14D10, 14M10

Rights: Copyright © 2017 Duke University Press

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Vol.166 • No. 17 • 15 November 2017
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