By Sterling Baldwin and others

We discuss the theory of generalized Weierstrass *\sigma* and *\wp* functions defined on a trigonal curve of genus four, following earlier work on the genus three case. The specific example of the "purely trigonal" (or "cyclic trigonal") curve *y^3=x^5+\lambda_4 x^4 +\lambda_3 x^3+\lambda_2 x^2 +\lambda_1 x+\lambda_0* is discussed in detail, including... Show more

December 21, 2006

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Abelian Functions for Cyclic Trigonal Curves of Genus Four

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