Excision, descent, and singularity in algebraic $K$-theory
K-Theory and Homology
2014-03-06 v2 Algebraic Geometry
Algebraic Topology
Operator Algebras
Abstract
Algebraic -theory is a homology theory that behaves very well on sufficiently nice objects such as stable -algebras or smooth algebraic varieties, and very badly in singular situations. This survey explains how to exploit this to detect singularity phenomena using -theory and cyclic homology.
Cite
@article{arxiv.1312.1639,
title = {Excision, descent, and singularity in algebraic $K$-theory},
author = {Guillermo Cortiñas},
journal= {arXiv preprint arXiv:1312.1639},
year = {2014}
}
Comments
20 pages. To be presented at the algebra session of ICM 2014. Submitted version