I'm currently working on my undergraduate dissertation. I'm working on covering sapces of Riemann surfaces so my supervisor asked me to read the book I mention in the title: "Algébre et Théories Galoisiennes" by Régine and Adrien Douady. The final scope is to prove the following theorem in the book:



> 
> Let $ B$ be a Rieamann surface, $v\_B $ the category of ramified analytic coverings of $B$ and $e\_B $ the category of étale algebras over $M(B)$ (the field of meromorphic functions on $B$). Then the functor $M: X\mapsto M(X) $ from $v\_B $ to $e\_B $ is an antiequivalence of categories.
> 
> 
> 


The problem is that the suggested literature is in french so it took three times the average time to read a page. Besides, the topic is totally new for me so I'm not making any progress. I'm aware of the fact that probably there is not a translation of that document so what I'm looking for is a text in English which deals with this theorem.


If some of you could suggest some literature I would be very grateful.
Thank you all in advance.



English literature close to "Algébre et Théories Galoisiennes" by Régine and Adrien Douady
O. Forster "Lectures on Riemann Surfaces" (Springer) is a good starting point before taking on T. Szamuely "Galois Groups and Fundamental Groups". After all, as Szamuely writes on page 65 at the beginning of Chapter 3, parts of his exposition in this chapter were inspired by Douady and Forster.


