%0 Journal Article
%T On Hyperelliptic Abelian Functions of Genus 3
%A Atsushi Nakayashiki
%J Mathematics
%D 2008
%I arXiv
%R 10.1016/j.geomphys.2011.01.007
%X 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 is proved in this case. As a by-product a linear basis of A is explicitly constructed in terms of derivatives of Klein's hyperelliptic pe functions.
%U http://arxiv.org/abs/0809.3303v2