Abstract

We study Gal[inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]-actions on the fundamental groups arising in deformation of maximally degenerate marked curves, and give explicit descriptions of them in terms of the principal parameters of the Grothendieck-Teichmüller group [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="02i" /]. As a special application, we present Galois theoretic connections between the moduli spaces M0,4, M0,5, M1,1 and M1,2 which lead to a newtype equation satisfied by the image of Gal[inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="03i" /].

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 315-358
Launched on MUSE
1999-04-01
Open Access
No
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