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- 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
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- 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
- riemann surfaces - Understanding Ramification Points - Mathematics . . .
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
- 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
- algebraic geometry - example of computing ramification index . . .
Ramification indices: what does it mean geometrically that $2$ is the only ramified prime in $\Bbb{Z}[i]$? 7 Intuition behind ramification index of a map between smooth curves
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