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- commutative algebra - Motivation and examples for ramification . . .
Motivation and examples for ramification Ask Question Asked 10 years, 6 months ago Modified 2 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:
- algebraic geometry - Ramification Locus and Ramification Index . . .
After searching for some examples on the site, I still don't quite get what how one calculates the ramification loci and indices for a morphism Here are a few examples that I think may help me
- algebraic number theory - Ramification in a splitting field . . .
Ramification in a splitting field Ask Question Asked 4 years, 11 months ago Modified 4 years, 11 months ago
- Ramification in cyclotomic fields - Mathematics Stack Exchange
The prime p p is totally ramified in Kpr K p r with ramification index [Kpr: Q] = φ(pr) [K p r: Q] = φ (p r) and p p is unramified in Kn K n In the composite field Km K m, the ramification index of p p turns out to be the same as that in Kpr K p r: φ(pr) φ (p r)
- Finding inertia degree and ramification index over local fields
In Ramification in local fields it is suggested to look at the reduction h ≡x4 mod 2 h ≡ x 4 mod 2, which doesn't help either (or I don't see how it would) This is the case for any polynomial whose Newton polygon has nonzero slope, which I encounter multiple times
- Difference between ramification point and branch point
If the ramification index is greater than 1, then z0 z 0 is called a ramification point of ƒ, and the corresponding critical value ƒ(z0) ƒ (z 0) is called an (algebraic) branch point
- Example of prime ramification - Mathematics Stack Exchange
By ∑ i eifi = [K: Q] ∑ i e i f i = [K: Q], where ei e i are the ramification index and fi f i are the residue class dgree, there are only finite number of ways that a prime (p) (p) in Q Q factors in OK O K I have either found an example nor disproved a possible way in all situation but the following
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