Abstract
For every smooth and separated Deligne–Mumford stack F, we associate a motive M(F) in Voevodsky’s category of mixed motives with rational coefficients DMeff(k,Q). When F is proper over a field of characteristic 0, we compare M(F) with the Chow motive associated to F by Toen (2000) ([31]). Without the properness condition we show that M(F) is a direct summand of the motive of a smooth quasi-projective variety.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.