transfinite arithmetic, cardinal arithmetic, ordinal arithmetic
prime field, p-adic integer, p-adic rational number, p-adic complex number
arithmetic geometry, function field analogy
An arithmetic scheme is a scheme in arithmetic geometry, hence a scheme over formal dual/spectrum $Spec \mathbb{Z}$ of the ring of integers.
Typically one takes an arithmetic scheme to be (regular) separated and of of finite type.
A differential algebraic K-theory over arithmetic schemes is considered in (Bunke-Tamme 12).
Last revised on July 17, 2014 at 12:07:43. See the history of this page for a list of all contributions to it.