# K-theory and G-theory of derived algebraic stacks

@article{Khan2022KtheoryAG,
title={K-theory and G-theory of derived algebraic stacks},
author={Adeel A. Khan},
journal={Japanese Journal of Mathematics},
year={2022}
}
• Adeel A. Khan
• Published 13 December 2020
• Mathematics
• Japanese Journal of Mathematics
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.
4 Citations
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This paper is part of an ongoing series of works on the study of foliations on algebraic varieties via derived algebraic geometry. We focus here on the specific case of globally defined vector fields
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We prove a K-theoretic excess intersection formula for derived Artin stacks. When restricted to classical schemes, it gives a refinement, and new proof, of R. Thomason's formula.

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