𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Algebraic function fields with small class number

✍ Scribed by James R.C. Leitzel; Manohar L. Madan; Clifford S. Queen

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
770 KB
Volume
7
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Classification of Algebraic Function Fie
Classification of Algebraic Function Fields with Divisor Class Number Two
✍ Dominique Le Brigand πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 324 KB

In a previous paper we proved that there are 11 quadratic algebraic function fields with divisor class number two. Here we complete the classification of algebraic function fields with divisor class number two giving all non-quadratic solutions. Our result is the following. Let us denote by k the fi

Cyclotomic Function Fields with Ideal Cl
Cyclotomic Function Fields with Ideal Class Number One
✍ StΓ©phan SΓ©mirat πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 139 KB

We list all imaginary cyclotomic extensions ‫ކ‬ x, ⌳ r‫ކ‬ x with ideal class q M Ε½ x . q number equal to one. Apart from the zero genus ones, there are 17 solutions up to Ε½ . ‫ކ‬ x -isomorphism: 13 of them are defined over ‫ކ‬ and the 4 remainings are q 3 defined over ‫ކ‬ .

On Class Number Relations over Function
On Class Number Relations over Function Fields
✍ Julie T.-Y Wang; Jing Yu πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 263 KB

The analogues of the classical Kronecker and Hurwitz class number relations for function fields of any positive characteristic are obtained by a method parallel to the classical proof. In the case of even characteristic, purely inseparable orders also have to be taken into account. A subtle point is