most citedHigher Genus Abelian Functions Associated with Cyclic Trigonal Curves

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math-ph2012★ 1 cited

Building Abelian Functions with Generalised Baker-Hirota Operators

Matthew England, Chris Athorne

We present a new systematic method to construct Abelian functions on Jacobian varieties of plane, algebraic curves. The main tool used is a symmetric generalisation of the bilinear…

math-ph2010★ 5 cited

Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves

Matthew England

We develop the theory of Abelian functions associated with cyclic trigonal curves by considering two new cases. We investigate curves of genus six and seven and consider whether it…