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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 different 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

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