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On Addition Formulae for Sigma Functions of Telescopic Curves
Репозиторій DSpace/Manakin
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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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On Addition Formulae for Sigma Functions of Telescopic Curves
Інший ID:
2010 Mathematics Subject Classification: 14H70; 37K20; 14H55; 14K25
DOI: http://dx.doi.org/10.3842/SIGMA.2013.046
DOI: http://dx.doi.org/10.3842/SIGMA.2013.046
Посилання:
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.
Підтримка:
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.
Дата:
2013
Переглядів:
567
Завантажень:
256
Анотація:
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.
