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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 046, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.046 (Mi sigma829) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On Addition Formulae for Sigma Functions of Telescopic Curves

Takanori Ayanoa, Atsushi Nakayashikib

a Department of Mathematics, Osaka University, Toyonaka, Osaka 560-0043, Japan
b Department of Mathematics, Tsuda College, Kodaira, Tokyo 187-8577, Japan
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DOI: https://doi.org/10.3842/SIGMA.2013.046
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.
Keywords: sigma function; tau function; Schur function; Riemann surface; telescopic curve; gap sequence.
Received: March 13, 2013; in final form June 14, 2013; Published online June 19, 2013
Bibliographic databases:
Document Type: Article
MSC: 14H70; 37K20; 14H55; 14K25
Language: English
Citation: Takanori Ayano, Atsushi Nakayashiki, “On Addition Formulae for Sigma Functions of Telescopic Curves”, SIGMA, 9 (2013), 046, 14 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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