Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves

Autor: Matthew England
Jazyk: angličtina
Rok vydání: 2010
Předmět:
Zdroj: Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 025 (2010)
Druh dokumentu: article
ISSN: 1815-0659
DOI: 10.3842/SIGMA.2010.025
Popis: 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 is the trigonal nature or the genus which dictates certain areas of the theory. We present solutions to the Jacobi inversion problem, sets of relations between the Abelian function, links to the Boussinesq equation and a new addition formula.
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