K-theory and G-theory of derived algebraic stacks
Algebraic Geometry
2024-09-24 v4 K-Theory and Homology
Abstract
These are some notes on the basic properties of algebraic K-theory and G-theory of derived algebraic spaces and stacks, and the theory of fundamental classes in this setting.
Cite
@article{arxiv.2012.07130,
title = {K-theory and G-theory of derived algebraic stacks},
author = {Adeel A. Khan},
journal= {arXiv preprint arXiv:2012.07130},
year = {2024}
}
Comments
53 pages; added some continuity statements (1.52, 1.54, 2.22), rewrote discussion of perfect stacks with some new compact generation results (1.40 and 1.42, joint with C. Ravi), and made various other minor revisions