Sigma Function as A Tau Function

Details Sigma Function as A Tau Function Sigma Function as A Tau Function

2009-04-06

arxiv.org/abs/0904.0846v1

Mathematics

Algebraic Geometry

21 pages

Scientific paper

The tau function corresponding to the affine ring of a certain plane algebraic curve, called (n,s)-curve, embedded in the universal Grassmann manifold is studied. It is neatly expressed by the multivariate sigma function. This expression is in turn used to prove fundamental properties on the series expansion of the sigma function established in a previous paper in a different method.

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