On Hyperelliptic Abelian Functions of Genus 3
Algebraic Geometry
2015-05-13 v2 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.0809.3303,
title = {On Hyperelliptic Abelian Functions of Genus 3},
author = {Atsushi Nakayashiki},
journal= {arXiv preprint arXiv:0809.3303},
year = {2015}
}
Comments
40 pages