Tyler, B.M. (2010) A computational method for the construction of Siegel sets in complex hyperbolic space. Doctoral thesis, UCL (University College London).
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Abstract
This thesis presents a computational method for constructing Siegel sets for the action of \Gamma = SU(n; 1;O) on HnC, where O is the ring of integers of an imaginary quadratic field with trivial class group. The thesis first presents a basic algorithm for computing Siegel sets and then considers practical improvements which can be made to this algorithm in order to decrease computation time. This improved algorithm is implemented in a C++ program called siegel, the source code for which is freely available at http://code.google.com/p/siegel/, and this program is used to compute explicit Siegel sets for the action of all applicable groups \Gamma on H2C and H3C.
| Type: | Thesis (Doctoral) |
|---|---|
| Title: | A computational method for the construction of Siegel sets in complex hyperbolic space |
| Open access status: | An open access version is available from UCL Discovery |
| Language: | English |
| Additional information: | The 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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