Essays about: "fuchsian group"
Found 2 essays containing the words fuchsian group.
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1. Modular forms for triangle groups
University essay from Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)Abstract : Modular forms are important in different areas of mathematics and theoretical physics. The theory is well known for the modular group PSL(2,Z), but is also of interest for other Fuchsian groups. In this thesis we will be interested in triangle groups with a cusp. READ MORE
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2. On Poicarés Uniformization Theorem
University essay from Matematiska institutionenAbstract : A compact Riemann surface can be realized as a quotient space $\mathcal{U}/\Gamma$, where $\mathcal{U}$ is the sphere $\Sigma$, the euclidian plane $\mathbb{C}$ or the hyperbolic plane $\mathcal{H}$ and $\Gamma$ is a discrete group of automorphisms. This induces a covering $p:\mathcal{U}\rightarrow\mathcal{U}/\Gamma$. READ MORE