✦ LIBER ✦

Classification of Algebraic Function Fields with Divisor Class Number Two

✍ Scribed by Dominique Le Brigand

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 324 KB
Volume: 2
Category: Article
ISSN: 1071-5797
DOI: 10.1006/ffta.1996.0010

No coin nor oath required. For personal study only.

✦ Synopsis

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 finite field with q elements. Up to isomorphism, there are exactly 8 non-quadratic algebraic function fields of one variable K/k having k for full constant field and with a divisor class number equal to two.

📜 SIMILAR VOLUMES

The Maximal Unramified Extensions of the

The Maximal Unramified Extensions of the Imaginary Quadratic Number Fields with Class Number Two

✍ Ken Yamamura 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 290 KB

The maximal unramified extensions of the imaginary quadratic number fields with class number two are determined explicitly under the Generalized Riemann Hypothesis.