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3 votes
2 answers
336 views

English literature close to "Algébre et Théories Galoisiennes" by Régine and Adrien Douady

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 ...
Natalio's user avatar
  • 133
13 votes
0 answers
287 views

Actions of $\mathbb Z/2\mathbb Z$ on algebraically closed fields and even-dimensional spheres and parallel between Galois theory and covering theory

It is well known that there is a parallel between Galois theory and covering theory. So I wonder whether there is a deep similarity between the following two facts: Artin-Schreier theorem. The only ...
evgeny's user avatar
  • 1,980
0 votes
1 answer
232 views

Inverse Galois Problem ; Galois group of some branched cover of $P^{1}$ defined over $\mathbb{Q}$

I was trying to read a paper on Inverse Galois problem . I understands what the inverse Galois problem is. It asks if every finite group is the Galois group of some extension of the rationals. The ...
Tensor_Product's user avatar