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The motivic fundamental group of the projective line minus three points and the theorem of Siegel

Abstract:
In this paper, we establish a link between the structure theory of the pro-unipotent motivic fundamental group of the projective line minus three points and Diophantine geometry. In particular, we give a p-adic proof of Siegel's theorem.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s00222-004-0433-9

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Springer-Verlag Publisher's website
Journal:
Inventiones mathematicae Journal website
Volume:
161
Issue:
3
Pages:
629-656
Publication date:
2005-01-01
DOI:
EISSN:
1432-1297
ISSN:
0020-9910
Source identifiers:
308901
Keywords:
Pubs id:
pubs:308901
UUID:
uuid:daf90777-2128-471f-8480-ba2a61763d83
Local pid:
pubs:308901
Deposit date:
2012-12-19

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