I am familiar with two uses of the term "Ramification index": 1. The ramification index in the context of algebraic number fields, i.e. the exponent of a prime ideal in the decomposition of a prime ideal it lies over, and 2. The ramification index in the context of Riemann surfaces and algebraic curves, spacifically in the context of the Riemann-Hurwitz formula. Is there a connection between the two?
2026-03-25 01:18:17.1774401497
Ramification index of an ideal vs. ramification index of a point
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