symmetric monoidal (∞,1)-category of spectra
transfinite arithmetic, cardinal arithmetic, ordinal arithmetic
prime field, p-adic integer, p-adic rational number, p-adic complex number
arithmetic geometry, function field analogy
In algebraic number theory, a conductor is a modulus (in the sense of number theory) associated to an abelian extension of number fields and reflects its ramification data.
The notion was introduced in the work of Weber at the end of 19th century. It is one of the central notions in class field theory. A later version is due Emil Artin.
See also:
Serge Lang, Algebraic number theory, Graduate Texts in Mathematics 110, Springer (1994) [doi:10.1007/978-1-4612-0853-2]
Wikipedia, Conductor (class field theory), conductor-discriminant formula
Last revised on March 12, 2024 at 09:31:38. See the history of this page for a list of all contributions to it.