List of algebraic number theory topics
This is a list of algebraic number theory topics.
Basic topics
These topics are basic to the field, either as prototypical examples, or as basic objects of study.
Important problems
- Fermat's last theorem
- Class number problem for imaginary quadratic fields
- Langlands program
General aspects
- Different ideal
- Dedekind domain
- Splitting of prime ideals in Galois extensions
- Decomposition group
- Inertia group
- Frobenius automorphism
- Chebotarev's density theorem
- Totally real field
- Local field
- Adele ring
- Idele group
- Idele class group
- Adelic algebraic group
- Global field
- Hasse principle
- Galois module
- Galois cohomology
Class field theory
Iwasawa theory
- Iwasawa theory
- Herbrand–Ribet theorem
- Vandiver's conjecture
- Stickelberger's theorem
- Euler system
- p-adic L-function
Arithmetic geometry
- Arithmetic geometry
- Complex multiplication
- Abelian variety of CM-type
- Hasse–Weil zeta function
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.