The Different and Discriminant

  • Serge Lang
Part of the Graduate Texts in Mathematics book series (GTM, volume 110)


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.


Free Module Residue Class Great Common Divisor Irreducible Polynomial Integral Closure 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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