Vol. 6, No. 3, 2021

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Virtual excess intersection theory

Adeel A. Khan

Vol. 6 (2021), No. 3, 559–570
Abstract

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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Keywords
derived algebraic geometry, algebraic K-theory, excess intersection formula
Mathematical Subject Classification
Primary: 14A20, 14C17, 19Exx
Milestones
Received: 22 September 2020
Revised: 17 March 2021
Accepted: 2 April 2021
Published: 11 September 2021
Authors
Adeel A. Khan
IHES
Bures-sur-Yvette
France
Institute of Mathematics
Academia Sinica
Taipei
Taiwan