Header

UZH-Logo

Maintenance Infos

Note on the Grothendieck operations and the Betti realization


Ayoub, J (2010). Note on the Grothendieck operations and the Betti realization. Journal of the Institute of Mathematics of Jussieu, 9(2):225-263.

Abstract

The purpose of this note is to show that the Betti realization of motives is compatible with Grothendieck's six operations and the nearby cycles functors, which in the motivic world, were previously studied by the author. We first review the construction of the Betti realization. Then, we establish some general criteria which, applied to the Betti realization, give the compatibilities we seek except for the one concerning the nearby cycles functors. The latter will be treated in a separate section.

Abstract

The purpose of this note is to show that the Betti realization of motives is compatible with Grothendieck's six operations and the nearby cycles functors, which in the motivic world, were previously studied by the author. We first review the construction of the Betti realization. Then, we establish some general criteria which, applied to the Betti realization, give the compatibilities we seek except for the one concerning the nearby cycles functors. The latter will be treated in a separate section.

Statistics

Citations

17 citations in Web of Science®
16 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

65 downloads since deposited on 08 Oct 2010
15 downloads since 12 months
Detailed statistics

Additional indexing

Other titles:Note sur les opérations de Grothendieck et la réalisation de Betti
Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:April 2010
Deposited On:08 Oct 2010 12:36
Last Modified:05 Apr 2016 14:16
Publisher:Cambridge University Press
ISSN:1474-7480
Additional Information:Copyright: Cambridge University Press
Publisher DOI:https://doi.org/10.1017/S1474748009000127

Download

Preview Icon on Download
Preview
Filetype: PDF
Size: 1MB
View at publisher