On the algebraic K-theory of Spec Z^N
Algebraic Geometry
2012-07-18 v1 K-Theory and Homology
Abstract
In his thesis, N. Durov develops a theory of algebraic geometry in which schemes are locally determined by commutative algebraic monads. In this setting, one is able to construct the Arakelov geometric compactification of the spectrum of the ring of integers in a purely algebraic fashion. This object arises as the limit of a certain projective system of generalized schemes. We study the constituents of this projective system, and compute their algebraic K-theory.
Keywords
Cite
@article{arxiv.1207.3890,
title = {On the algebraic K-theory of Spec Z^N},
author = {Stella Anevski},
journal= {arXiv preprint arXiv:1207.3890},
year = {2012}
}