Building Abelian Functions with Generalised Baker-Hirota Operators
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 operator defined in the work of Baker and Hirota. We give explicit formulae for the multiple applications of the operat...
Main Authors: | Matthew England, Chris Athorne |
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Format: | Article |
Language: | English |
Published: |
National Academy of Science of Ukraine
2012-06-01
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Subjects: | |
Online Access: | http://dx.doi.org/10.3842/SIGMA.2012.037 |
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