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Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves

Vernadsky National Library of Ukraine

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Title Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves
 
Creator England, M.
 
Description 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.
 
Date 2019-02-08T20:42:47Z
2019-02-08T20:42:47Z
2010
 
Type Article
 
Identifier Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves / M. England // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 15 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 33E05; 14H40; 14H42
DOI:10.3842/SIGMA.2010.025
http://dspace.nbuv.gov.ua/handle/123456789/146320
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України