Published May 2018
| Version Submitted
Journal Article
Open
Some remarks concerning Voevodsky's nilpotence conjecture
-
1.
Toulouse Mathematics Institute
-
2.
California Institute of Technology
-
3.
Massachusetts Institute of Technology
-
4.
University of Coimbra
Abstract
In this article we extend Voevodsky's nilpotence conjecture from smooth projective schemes to the broader setting of smooth proper dg categories. Making use of this noncommutative generalization, we then address Voevodsky's original conjecture in the following cases: quadric fibrations, intersection of quadrics, linear sections of Grassmannians, linear sections of determinantal varieties, homological projective duals, and Moishezon manifolds.
Additional Information
© 2018 Walter de Gruyter GmbH, Berlin/Boston. Received: 2014-11-21; Published Online: 2015-11-28; Published in Print: 2018-05-01. G. Tabuada was partially supported by the National Science Foundation CAREER Award #1350472 and by the Fundação para a Ciência e a Tecnologia (Portuguese Foundation for Science and Technology) through the project grant UID/MAT/00297/2013 (Centro de Matemática e Aplicações). M. Marcolli was partially supported by the NSF grants DMS-1201512 and PHY-1205440.Attached Files
Submitted - 1403.0876.pdf
Files
1403.0876.pdf
Additional details
Identifiers
- Eprint ID
- 79026
- Resolver ID
- CaltechAUTHORS:20170712-145442721
Related works
- Describes
- https://arxiv.org/abs/1403.0876 (URL)
Funding
- NSF
- DMS-1350472
- Fundação para a Ciência e a Tecnologia (FCT)
- UID/MAT/00297/2013
- NSF
- DMS-1201512
- NSF
- PHY-1205440
Dates
- Created
-
2017-07-13Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department