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...

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Bibliographic Details
Main Authors: Matthew England, Chris Athorne
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2012-06-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.037