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Filtering by: Advisor Spies, Thomas A. Contributor advisor sim Schmidt, Thomas A. Subject Riemann surfaces

A New Algorithm for Computing the Veech Group of a Translation Surface

Creator:

Edwards, Brandon

Abstract:

We give a new characterization of elements in the Veech group of a translation surface. This provides a computational test for Veech group membership. We use this computational test in an algorithm that detects when the Veech group is a lattice (has co-finite area), and in this case computes a...

Resource Type:

Dissertation

Full Text:

Doctor of Philosophy in Mathematics presented on March 17, 2017. Title: A New Algorithm for Computing
Principal subgroups of the nonarithmetic Hecke triangle groups and Galois orbits of algebraic curves

Creator:

Smith, Katherine M.

Resource Type:

Dissertation