308 citations · 894 across the 32 of their papers we have counts for
7 papers · 1 filter
Derivatives of Schur, Tau and Sigma Functions on Abel-Jacobi Images
Atsushi Nakayashiki, Keijiro Yori
We study derivatives of Schur and tau functions from the view point of the Abel-Jacobi map. We apply the results to establish several properties of derivatives of the sigma functio…
Baker-Akhiezer Modules on the Intersections of Shifted Theta Divisors
Koji Cho, Andrey Mironov, Atsushi Nakayashiki
The restriction, on the spectral variables, of the Baker-Akhiezer (BA) module of a g-dimensional principally polarized abelian variety with the non-singular theta divisor to an int…
Sigma Function as A Tau Function
Atsushi Nakayashiki
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 expr…
On Hyperelliptic Abelian Functions of Genus 3
Atsushi Nakayashiki
The affine ring A of the affine Jacobian variety of a hyperelliptic curve of genus 3 is studied as a D-module. The conjecture on the minimal D-free resolution previously proposed i…
On Algebraic Expressions of Sigma Functions for (n,s) Curves
Atsushi Nakayashiki
An expression of the multivariate sigma function associated with a (n,s)-curve is given in terms of algebraic integrals. As a corollary the first term of the series expansion aroun…
Euler characteristics of theta divisors of Jacobians for spectral curves
A. Nakayashiki, F. Smirnov
We show how to calculate the Euler characteristic of an affine Jacobi variety of a spectral curve from its defining equations.