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- Ramification in cyclotomic fields - Mathematics Stack Exchange
Ramification in cyclotomic fields Ask Question Asked 3 years, 5 months ago Modified 3 years, 5 months ago
- 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:
- 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
- Ramification divisor and Hurwitz formula of higher dimensional varieties
Ramification divisor and Hurwitz formula of higher dimensional varieties Ask Question Asked 12 years, 3 months ago Modified 4 years, 9 months ago
- Understanding the Inertia Group in Ramification Theory
Understanding the Inertia Group in Ramification Theory Ask Question Asked 10 years, 2 months ago Modified 10 years, 2 months ago
- How we can know the ramification ideals geometrically?
How to actually compute the ramification index and inertia degree in practice is a whole other matter—my answer is just meant to give the abstract connection to geometry and some intuition about how it relates to the classical notion of ramification
- A Riemann surface $X$ is hyperelliptic iff there is a holomorphic . . .
Such a map takes ramification points to themselves, as needed Note, though, that in spite of the fancy "functorial" language, the methods from earlier on in the post are really needed to set up this correspondence This perspective does result in quick answers to these sorts of questions, though
- 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
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