Nisnevich Descent for Deligne-Mumford Stacks

2010/05/06 by Krishna, Amalendu, Ostvaer, Paul-Arne
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1005.0968

Abstract

We prove the excision theorem for the K-theory of perfect complexes on Deligne-Mumford stacks. This is then used to study the Nisnevich site of such stacks. We prove the Nisnevich descent for the K-theory of perfect complexes. We also draw some other consequences.

Related

• Descent properties of equivariant K-theory
• Spectral Excision and Descent for Almost Perfect Complexes
• Riemann-Roch for Deligne-Mumford stacks
• Notes on G-theory of Deligne-Mumford stacks
• Derived algebraic geometry, determinants of perfect complexes, and\n applications to obstruction theories for maps and complexes