On Addition Formulae for Sigma Functions of Telescopic Curves
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 t...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2013 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2013
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149237 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862736549614977024 |
|---|---|
| author | Ayano, T. Nakayashiki, A. |
| author_facet | Ayano, T. Nakayashiki, A. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T19:54:34Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149237 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:54:34Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ayano, T. Nakayashiki, A. 2019-02-19T19:07:19Z 2019-02-19T19:07:19Z 2013 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 https://nasplib.isofts.kiev.ua/handle/123456789/149237 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Addition Formulae for Sigma Functions of Telescopic Curves Article published earlier |
| spellingShingle | On Addition Formulae for Sigma Functions of Telescopic Curves Ayano, T. Nakayashiki, A. |
| title | On Addition Formulae for Sigma Functions of Telescopic Curves |
| title_full | On Addition Formulae for Sigma Functions of Telescopic Curves |
| title_fullStr | On Addition Formulae for Sigma Functions of Telescopic Curves |
| title_full_unstemmed | On Addition Formulae for Sigma Functions of Telescopic Curves |
| title_short | On Addition Formulae for Sigma Functions of Telescopic Curves |
| title_sort | on addition formulae for sigma functions of telescopic curves |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149237 |
| work_keys_str_mv | AT ayanot onadditionformulaeforsigmafunctionsoftelescopiccurves AT nakayashikia onadditionformulaeforsigmafunctionsoftelescopiccurves |