dc.contributor.author | Samarasinghe, Manjula L | |
dc.date.accessioned | 2015-09-14T14:23:28Z | |
dc.date.available | 2015-09-14T14:23:28Z | |
dc.date.issued | 2013-04 | |
dc.identifier.citation | Samarasinghe, M.L. 2013. Quasi-Fuchsian correspondences. Queen Mary University of London. | en_US |
dc.identifier.uri | http://qmro.qmul.ac.uk/xmlui/handle/123456789/8625 | |
dc.description | M.Phil | en_US |
dc.description.abstract | We 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.language.iso | en | en_US |
dc.publisher | Queen Mary University of London | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Holomorphic correspondences | en_US |
dc.title | Quasi-Fuchsian correspondences. | en_US |
dc.type | Thesis | en_US |
dc.rights.holder | The 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 | |