The Different and Discriminant
The study of the different and discriminant provides some information on ramified primes, and also gives a sort of duality which plays a role both in the algebraic study of ramification and the later chapters on analytic duality. It also gives a good method for computing the ring of algebraic integers in a number field, as in Proposition 10.
KeywordsFree Module Residue Class Great Common Divisor Irreducible Polynomial Integral Closure
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