How we can know the ramification ideals geometrically? $\begingroup$ 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 I recommend Henri Cohen's "A Course in Computational Number Theory" for a
Example of prime ramification - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
algebraic number theory - Ramification in a splitting field . . . You mention a formula for the discriminant in tame ramification, what is this formula (a cursory search through my references hasn't revealed anything)? $\endgroup$ – Nico Commented Jul 5, 2020 at 19:11
commutative algebra - Motivation and examples for ramification . . . So, the best place to start thinking about ramification, is in terms of maps of Riemann surfaces While this may seem unrelated at first, bear through it, and I promise (hopefully!) it will make sense at the end
Ramification in cyclotomic fields - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
algebraic number theory - Ramification in a tower of extensions . . . Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers