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- Ramification in cyclotomic fields - Mathematics Stack Exchange
Ramification in cyclotomic fields Ask Question Asked 3 years, 6 months ago Modified 3 years, 6 months ago
- algebraic number theory - Ramification in a tower of extensions . . .
Their ramification degrees in $\mathbb {Q} (\sqrt {-5},\sqrt {-1}) \mathbb {Q}$ is at most 2 and both ramify in $\mathbb {Q} (\sqrt {-5}) \mathbb {Q}$ This means that nothing can ramify in $\mathbb {Q} (\sqrt {-5},\sqrt {-1}) \mathbb {Q} (\sqrt {-5})$
- Understanding Ramification Points - Mathematics Stack Exchange
I really don't understand how to calculate ramification points for a general map between Riemann Surfaces If anyone has a good explanation of this, would they be prepared to share it? Disclaimer:
- Ramification of primes - Mathematics Stack Exchange
Ramification of primes Ask Question Asked 13 years, 5 months ago Modified 13 years, 5 months ago
- Higher ramification groups - Mathematics Stack Exchange
I was wondering if someone could explain what higher ramification groups are used for? What information do they contain and why are they important?
- Understanding the Inertia Group in Ramification Theory
Yes And i know about the fundamental identity But I don't know exactly how is the inertial degree related to the inertia group, even though I can imagine it being the galois group of the extension of residue fields or something like this
- Motivation for considering the upper numbering of ramification groups
This definition makes sense by Herbrand's theorem, which tells us that we get a projective system to take the limit of In this way, the upper ramification groups are far more natural than the lower ramification groups The lower ramification groups have the advantage that they are easier to define and are sufficient for finite extensions
- Branched cover in algebraic geometry - Mathematics Stack Exchange
Many of these references eventually mention "branch" or "ramification" in passing or loosely, as if assuming the reader knows about it So my questions are: What are the definitions of "branched covering" and "ramification"? What is the map $\pi$ explicitly? Is there a code of ethics among algebraic geometers to make simple things harder for
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