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dc.contributor.authorSamarasinghe, Manjula L
dc.identifier.citationSamarasinghe, M.L. 2013. Quasi-Fuchsian correspondences. Queen Mary University of London.en_US
dc.description.abstractWe consider the action of holomorphic correspondences or equally algebraic functions acting on the Riemann sphere C and their limit sets: a holomorphic correspondence is a polynomial relation, P(z;w) = 0 in z and w: A holomorphic correspondence P(z;w) = 0 is said to be an (n : m) correspondence if the degrees of z and w in P are n and m respectively. We identify a class of (2 : 2) holomorphic correspondences whose limit set is a topological circle where on a component of the complement of the limit set, the action of the correspondence is conjugate to the action of the Modular group PSL(2; Z) on the upper half plane. Further, we generalise these results to a class of (3 : 3) holomorphic correspondences with analogous properties.en_US
dc.publisherQueen Mary University of Londonen_US
dc.subjectHolomorphic correspondencesen_US
dc.titleQuasi-Fuchsian correspondences.en_US
dc.rights.holderThe copyright of this thesis rests with the author and no quotation from it or information derived from it may be published without the prior written consent of the author

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