308 citations · 894 across the 32 of their papers we have counts for
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math.AG2008★ 12 cited
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…
math.AG2008★ 14 cited
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…
math.QA2008★ 3 cited
Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations
Kazunori Kuroki, Atsushi Nakayashiki
Solutions of the qKZ equation associated with the quantum affine algebra and its two dimensional evaluation representation are studied. The integral formulae deri…