Automorphisms of Riemann Surfaces

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DC Field	Value	Language
dc.contributor.advisor	Hambleton, Ian	en_US
dc.contributor.author	Anvari, Nima	en_US
dc.date.accessioned	2014-06-18T16:45:16Z	-
dc.date.available	2014-06-18T16:45:16Z	-
dc.date.created	2011-05-25	en_US
dc.date.issued	2009-08	en_US
dc.identifier.other	opendissertations/4202	en_US
dc.identifier.other	5220	en_US
dc.identifier.other	2031072	en_US
dc.identifier.uri	http://hdl.handle.net/11375/9044	-
dc.description.abstract	<p>p.p1 {margin: 0.0px 0.0px 0.0px 0.0px; font: 11.5px Times} span.s1 {font: 11.5px Helvetica}</p> <p>This paper consists of mainly two parts. First it is a survey of some results on automorphisms of Riemann surfaces and Fuchsian groups. A theorem of Hurwitz states that the maximal automorphism group of a compact Riemann surface of genus g has order at most 84(g-1). It is well-known that the Klein quartic is the unique genus 3 curve that attains the Hurwitz bound. We will show in the second part of the paper that, in fact, the Klein curve is the unique non-singular curve in ℂP² that attains the Hurwitz bound. The last section concerns automorphisms of surfaces with cusps or punctured surfaces.</p>	en_US
dc.subject	Mathematics	en_US
dc.subject	Statistics and Probability	en_US
dc.subject	Mathematics	en_US
dc.title	Automorphisms of Riemann Surfaces	en_US
dc.type	thesis	en_US
dc.contributor.department	Mathematics and Statistics	en_US
dc.description.degree	Master of Science (MS)	en_US
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