Explicit algebraic description of hyperelliptic Jacobians on the basis of the Klein \(\sigma\)-functions
type: Item
instance of: scholarly article
title: Explicit algebraic description of hyperelliptic Jacobians on the basis of the Klein \(\sigma\)-functions
zbMATH Open document ID: 0886.14008
DOI: 10.1007/BF02509557
publication date: 1997-06-09T00:00:00Z
review text: Let \(V\) be an affine hyperelliptic curve of genus \(g\). Using the classical theory of Klein's \(\sigma\)-function explicit algebraic equations for (an affine part of) the Jacobian of \(V\) are developed. This is a generalization of the classical equation of a plane elliptic curve in terms of the Weierstrass \(\wp\)-function. The paper presents no proofs at all.
Mathematics Subject Classification ID: 14H40
Mathematics Subject Classification ID: 14H52
zbMATH DE Number: 1002981
zbMATH Keywords: Klein \(\sigma\)-functions
zbMATH Keywords: hyperelliptic curve
zbMATH Keywords: Jacobian
author: V. M. Buchstaber
author: Victor Enolski
reviewed by: Christina Birkenhake
MaRDI profile type: Publication
cites work: Q1838549
cites work: The spectrum of Hill's equation
full work available at URL: https://doi.org/10.1007/bf02509557
OpenAlex ID: W2025325724
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 1002981