On Addition Formulae for Sigma Functions of Telescopic Curves

Symmetry Integrability and Geometry-Methods and Applications

article

Takanori Ayano¹  Atsushi Nakayashiki² 

[1] Department of Mathematics, Osaka University;Department of Mathematics, Tsuda College

关键词: sigma function;    tau function;    Schur function;    Riemann surface;    telescopic curve;    gap sequence;   

DOI  :  10.3842/SIGMA.2013.046

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown