May 25, 2022 · Ramification in cyclotomic fields Ask Question Asked 3 years, 7 months ago Modified 3 years, 7 months ago

Feb 18, 2011 · 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). …

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: ...

By the Riemann-Hurwitz formula the degree of the ramification divisor is 4, hence ϕ ϕ can ramify in three possible ways: (a) two points of ramification index 3; (b) one point of ramification index 3 and two …

Ramification index and inertia degree Ask Question Asked 15 years, 1 month ago Modified 15 years, 1 month ago

Apr 12, 2020 · 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 …

Feb 11, 2021 · Ramification divisor and Hurwitz formula of higher dimensional varieties Ask Question Asked 12 years, 5 months ago Modified 4 years, 11 months ago

Let K K be a number field, n n be a positive integer and ζn ζ n a primitve nth n t h root of unity. How does one show that if a prime ideal p p of K K is ramified in K(ζn) K (ζ n) then n ∈ p n ∈ p ? (This is not …

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 …

Oct 4, 2017 · More of an extended comment than an answer: Ramification of primes in number theory is basically the same picture as ramification which occurs in the theory of branched covering spaces …