Geodesic
On Addition Formulae for Sigma Functions of Telescopic Curves
Symmetry, integrability and geometry: methods and applications, Tome 9 (2013) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Takanori Ayano and Atsushi Nakayashiki},
     title = {On {Addition} {Formulae} for {Sigma} {Functions} of {Telescopic} {Curves}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2013},
     volume = {9},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2013_9_a45/}
}
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Takanori Ayano; Atsushi Nakayashiki. On Addition Formulae for Sigma Functions of Telescopic Curves. Symmetry, integrability and geometry: methods and applications, Tome 9 (2013). http://geodesic.mathdoc.fr/item/SIGMA_2013_9_a45/

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