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1 December 2011 Motivic fundamental groups and integral points
Majid Hadian
Duke Math. J. 160(3): 503-565 (1 December 2011). DOI: 10.1215/00127094-1444296

Abstract

We use motivic fundamental groups to show that S-integral points on a unirational variety over a totally real number field whose fundamental group is nonabelian enough in a certain sense can be covered by zero loci of finitely many nonzero p-adic analytic functions. In particular, in the 1-dimensional case we obtain a motivic proof of finiteness of S-integral points of punctured projective line over totally real number fields, which gives as a special case a motivic proof of Siegel’s theorem over Q and totally real quadratic number fields.

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Majid Hadian. "Motivic fundamental groups and integral points." Duke Math. J. 160 (3) 503 - 565, 1 December 2011. https://doi.org/10.1215/00127094-1444296

Information

Published: 1 December 2011
First available in Project Euclid: 7 November 2011

zbMATH: 1234.14020
MathSciNet: MR2852368
Digital Object Identifier: 10.1215/00127094-1444296

Subjects:
Primary: 14F42, 14G05
Secondary: 11G35, 19E20

Rights: Copyright © 2011 Duke University Press

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Vol.160 • No. 3 • 1 December 2011
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