An expression of the multivariate sigma function associated with an (n,s)-curve is
given in terms of algebraic integrals. As a corollary the first term of the series expansion around
the origin of the sigma function is directly proved to be Schur function determined from the gap
sequence at infinity.
Publié le : 2010-06-15
Classification:
Sigma Function,
Schur function,
gap sequence,
14H42,
14H55,
14H70
@article{1294789785,
author = {Nakayashiki, Atsushi},
title = {On Algebraic Expressions of Sigma Functions for (n, s) Curves},
journal = {Asian J. Math.},
volume = {14},
number = {1},
year = {2010},
pages = { 175-212},
language = {en},
url = {http://dml.mathdoc.fr/item/1294789785}
}
Nakayashiki, Atsushi. On Algebraic Expressions of Sigma Functions for (n, s) Curves. Asian J. Math., Tome 14 (2010) no. 1, pp. 175-212. http://gdmltest.u-ga.fr/item/1294789785/