Tyler, B.M.;
(2010)
A computational method for the construction of Siegel sets in
complex hyperbolic space.
Doctoral thesis , UCL (University College London).
![[thumbnail of 147750.pdf]](https://discovery.ucl.ac.uk/style/images/fileicons/application_pdf.png) Preview |
PDF
147750.pdf Download (1MB) |
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 > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/147750 |
Archive Staff Only
 |
View Item |
