Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media New York
About this chapter
Cite this chapter
Lang, S. (1994). The Different and Discriminant. In: Algebraic Number Theory. Graduate Texts in Mathematics, vol 110. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0853-2_3
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0853-2_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6922-9
Online ISBN: 978-1-4612-0853-2
eBook Packages: Springer Book Archive