Building Abelian Functions with Generalised Baker-Hirota Operators

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Authors: England, M., Athorne, C.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148444
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Building Abelian Functions with Generalised Baker-Hirota Operators / M. England, Ch. Athorne // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 36 назв. — англ.

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...