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Basepoint dependence of the unipotent fundamental group of P1 Qp {0,1, ∞}

Dasigi, N.; (2012) Basepoint dependence of the unipotent fundamental group of P1 Qp {0,1, ∞}. Doctoral thesis, UCL (University College London). Green open access

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Abstract

Let X be the scheme P1Qp \ {0,1, ∞} We can assign a fundamental group to each rational basepoint on this scheme. These groups are non-canonically isomorphic, so they need not have isomorphic Galois actions. We study a description of this map from points to groups with Galois action, in terms of non-abelian cohomology. Using this description, we see that the fundamental groups associated to di�fferent basepoints are not isomorphic.

Type: Thesis (Doctoral)
Title: Basepoint dependence of the unipotent fundamental group of P1 Qp {0,1, ∞}
Open access status: An open access version is available from UCL Discovery
Language: English
Additional information: The title and abstract contains LaTeX text. Please see the attached pdf for rendered equations
UCL classification: UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics
URI: http://discovery.ucl.ac.uk/id/eprint/1338143
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