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http://hdl.handle.net/11375/9044
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DC Field | Value | Language |
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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 |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 2.63 MB | Adobe PDF | View/Open |
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