Mathematical Journal of Okayama University volume62 issue1
2020-01 発行

A representation for algebraic K-theory of quasi-coherent modules over affine spectral schemes

Ohara, Mariko Department of Mathematical Sciences Shinshu University
Publication Date
2020-01
Abstract
In this paper, we study K-theory of spectral schemes by using locally free sheaves. Let us regard the K-theory as a functor K on affine spectral schemes. Then, we prove that the group completion ΩBG(BGGL) represents the sheafification of K with respect to Zariski (resp. Nisnevich) topology G, where BGGL is a classifying space of a colimit of affine spectral schemes GLn.
Keywords
Infinity category
Derived algebraic geometry
K-theory
Comments
Mathematics Subject Classification. Primary 18E99; Secondary 19D10