On motives for Deligne-Mumford stacks
B. Toen
Abstract
We define and compare two different definitions of Chow motives for Deligne-Mumford stacks, associated with two definitions of Chow rings. The main result we prove is that both categories of motives are equivalent to the usual category of motives of algebraic varieties, but the motives of a given stack associated with both theories are not isomorphic. We will also give some examples of motives associated with some alegbraic stacks.
Create a lesson
Related papers
The Tate Conjecture for Ordinary Calabi-Yau Threefolds
Lukas Brantner
Weighted, GIT and Néron--Tate heights on genus-two moduli and Jacobians
Sajad Salami
Monodromy of Tate-Linear varieties
Livia Grammatica
On the Cohomology Classes of Certain Eisenstein-Kronecker Forms
Zhixuan Sheng, Jie Zhou
Campana strong approximation on generalised Markoff surfaces
Dasheng Wei
Quillen's local parameter conjecture in dimension four
Yunpeng Li