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Title: A computational method for the construction of Siegel sets in complex hyperbolic space
Author: Tyler, B. M.
ISNI:       0000 0004 2728 2917
Awarding Body: University College London (University of London)
Current Institution: University College London (University of London)
Date of Award: 2010
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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, and this program is used to compute explicit Siegel sets for the action of all applicable groups \Gamma on H2C and H3C.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available