Article contents
Generalized Jacobian Varieties and Separable Abelian Extensions of Function Fields
Published online by Cambridge University Press: 22 January 2016
Extract
Using Frobenius automorphisms ingeniouslly, S. Lang has established an elegant theory of unramified class fields of function fields in several variables over finite fields [2]. As an application of class field theory and theory of reduction he has proved that any separable unramified abelian extension of a function field of one variable comes from a pull back of a separable ingeny of its jacobian variety [3].
- Type
- Research Article
- Information
- Copyright
- Copyright © Editorial Board of Nagoya Mathematical Journal 1957
References
- 1
- Cited by