|
- 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 in cyclotomic fields - Mathematics Stack Exchange
Ramification in cyclotomic fields Ask Question Asked 3 years, 6 months ago Modified 3 years, 6 months ago
- 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
- 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?
- what does it mean for a prime at infinity to ramify?
The above definition of ramification for real places is the usual one, justified e g by the ramification index 2 which appears in a complex valuation over a real one (see Joequinn's answer) However the same phenomenon could also be interpreted as the splitting of the real place under the complex one
- Ramification divisor and Hurwitz formula of higher dimensional varieties
Ramification divisor and Hurwitz formula of higher dimensional varieties Ask Question Asked 12 years, 4 months ago Modified 4 years, 9 months ago
- Motivation for considering the upper numbering of ramification groups
3 The short answer is that lower ramification groups behave well when taking subgroups, while upper ramification groups behave well when taking quotients As a result, the upper numbering can be defined for infinite extensions I think this is the key motivation for defining them
- Understanding the Inertia Group in Ramification Theory
23 I am a beginner student of Algebraic Number Theory and I am starting to learn ramification theory (of global fields) My question asks for motivation for a definition I was given Let K K be an algebraic number field, OK O K its ring of integers, L K L K a Galois extension and OL O L the integral closure of OK O K in L L
|
|
|