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

Kim, M

2005

## Journal:

Inventiones Mathematicae

## Last Updated:

2018-10-09T08:01:38.473+01:00

3

161

629-656

## 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.

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