On Addition Formulae for Sigma Functions of Telescopic Curves

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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dc.contributor.author	Ayano, T.
dc.contributor.author	Nakayashiki, A.
dc.date.accessioned	2019-02-19T19:07:19Z
dc.date.available	2019-02-19T19:07:19Z
dc.date.issued	2013
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 14H70; 37K20; 14H55; 14K25
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.046
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149237
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	The authors would like to thank the referees for the useful comments. This research was partially supported by Grant-in-Aid for JSPS Fellows (22-2421) and for Scientific Research (C) 23540245 from Japan Society for the Promotion of Science.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	On Addition Formulae for Sigma Functions of Telescopic Curves	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA