13 citations · 75 across the 19 of their papers we have counts for
19 papers
Transcendental Galois Theory and Noether's Problem
Feng-Wen An
In 1918, Noether published a paper where she studied such a problem, now called Noether's problem on rationality: Let be a purely tran…
On the arithmetic Galois covers of higher relative dimensions
Feng-Wen An
In this paper we will give the calculus, the criterion, and the existence of the arithmetic Galois covers of higher relative dimensions.
On the unramified extension of an arithmetic function field in several variables
Feng-Wen An
In this paper we will give a scheme-theoretic discussion on the unramified extensions of an arithmetic function field in several variables. The notion of unramified discussed here…
On the transcendental Galois extensions
Feng-Wen An
In this paper the transcendental Galois extensions of a field will be introduced as counterparts to algebraic Galois ones. There exist several types of transcendental Galois extens…
Algebraic Anabelian Functors
Feng-Wen An
In this paper we will prove that there exists a covariant functor, called algebraic anabelian functor, from the category of algebraic schemes over a given field to the category of…
On the section conjecture of Grothendieck
Feng-Wen An
For a given arithmetic scheme, in this paper we will introduce and discuss the monodromy action on a universal cover of the étale fundamental group and the monodromy action on an \…