On Jacobi Inversion Formulae for Telescopic Curves
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Jacobi Inversion Formulae for Telescopic Curves
|
|
| Creator |
Ayano, T.
|
|
| Description |
For a hyperelliptic curve of genus g, it is well known that the symmetric products of g points on the curve are expressed in terms of their Abel-Jacobi image by the hyperelliptic sigma function (Jacobi inversion formulae). Matsutani and Previato gave a natural generalization of the formulae to the more general algebraic curves defined by yr=f(x), which are special cases of (n,s) curves, and derived new vanishing properties of the sigma function of the curves yr=f(x). In this paper we extend the formulae to the telescopic curves proposed by Miura and derive new vanishing properties of the sigma function of telescopic curves. The telescopic curves contain the (n,s) curves as special cases.
|
|
| Date |
2019-02-16T09:15:31Z
2019-02-16T09:15:31Z 2016 |
|
| Type |
Article
|
|
| Identifier |
On Jacobi Inversion Formulae for Telescopic Curves / A. Ayano // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 25 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 14H42; 14H50; 14H55 DOI:10.3842/SIGMA.2016.086 http://dspace.nbuv.gov.ua/handle/123456789/147847 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|