Explicit algebraic description of hyperelliptic Jacobians on the basis of the Klein \(\sigma\)-functions (Q679501)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Explicit algebraic description of hyperelliptic Jacobians on the basis of the Klein \(\sigma\)-functions |
scientific article; zbMATH DE number 1002981
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit algebraic description of hyperelliptic Jacobians on the basis of the Klein \(\sigma\)-functions |
scientific article; zbMATH DE number 1002981 |
Statements
Explicit algebraic description of hyperelliptic Jacobians on the basis of the Klein \(\sigma\)-functions (English)
0 references
9 June 1997
0 references
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.
0 references
Klein \(\sigma\)-functions
0 references
hyperelliptic curve
0 references
Jacobian
0 references
