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On Addition Formulae for Sigma Functions of Telescopic Curves

Vernadsky National Library of Ukraine

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Title On Addition Formulae for Sigma Functions of Telescopic Curves
 
Creator Ayano, T.
Nakayashiki, A.
 
Description A telescopic curve is a certain algebraic curve defined by m−1 equations in the affine space of dimension m, which can be a hyperelliptic curve and an (n,s) curve as a special case. We extend the addition formulae for sigma functions of (n,s) curves to those of telescopic curves. The expression of the prime form in terms of the derivative of the sigma function is also given.
 
Date 2019-02-19T19:07:19Z
2019-02-19T19:07:19Z
2013
 
Type Article
 
Identifier On Addition Formulae for Sigma Functions of Telescopic Curves / T. Ayano, A. Nakayashiki // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 24 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 14H70; 37K20; 14H55; 14K25
DOI: http://dx.doi.org/10.3842/SIGMA.2013.046
http://dspace.nbuv.gov.ua/handle/123456789/149237
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України