On the structure of the divisor class group of a class of curves over finite fields (Q1898870)
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: On the structure of the divisor class group of a class of curves over finite fields |
scientific article; zbMATH DE number 800598
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the structure of the divisor class group of a class of curves over finite fields |
scientific article; zbMATH DE number 800598 |
Statements
On the structure of the divisor class group of a class of curves over finite fields (English)
0 references
29 October 1996
0 references
Let \(L(t)\) be the numerator of the zeta-function of the curve \(\mathcal C\) over the finite field \(\mathbb{F}_q\). We investigate the group structure of the Jacobian of \(\mathcal C\) in the case that all roots of \(L({t\over\sqrt q})\) are roots of unity.
0 references
divisor class group
0 references
curve over a finite field
0 references
\(L\)-function
0 references
Frobenius
0 references
Jacobian
0 references
