A canonical form of an algebraic equation for genus 3 Reimann surfaces |
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| Authors: | J. Sobczyk W. Urbanik |
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| Affiliation: | (1) Institute of Theoretical Physics, Wroc!["lstrok"]("/content/kw8w53188v733748/xlarge322.gif") aw University, 50-205 Cybulskiego 36, Wrocaw, Poland;(2) Academy of Economics, Wrocaw, Poland |
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| Abstract: | We propose a canonical form of an algebraic equation describing each conformal equivalence class of genus 3 nonhyperelliptic Riemann surface. The equation yields a 3-sheet covering with nine ramification points. This result can have applications in string theory and in the theory of solvable models in statistical mechanics. |
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| Keywords: | 53-XX 30Fxx 81E10 |
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