Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)



Higher bivariant Chow groups and motivic filtrations

Author: Abhishek Banerjee
Journal: Trans. Amer. Math. Soc. 363 (2011), 5943-5969
MSC (2010): Primary 14C15, 14C25
Published electronically: May 25, 2011
MathSciNet review: 2817416
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: The purpose of this paper is twofold: first, we extend Saito's filtration on Chow groups, which is a candidate for the conjectural Bloch Beilinson filtration on the Chow groups of a smooth projective variety, from Chow groups to the bivariant Chow groups. In order to do this, we construct cycle class maps from the bivariant Chow groups to bivariant cohomology groups. Secondly, we use our methods to define a bivariant version of Bloch's higher Chow groups.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 14C15, 14C25

Retrieve articles in all journals with MSC (2010): 14C15, 14C25

Additional Information

Abhishek Banerjee
Affiliation: Institut des Hautes Études Scientifiques, Le Bois-Marie 35, Route de Chartres 91440, Bures sur Yvette, France
Address at time of publication: Department of Mathematics, Ohio State University, 231 W. 18th Avenue, 100 Math Tower, Columbus, Ohio 43210

Received by editor(s): September 19, 2009
Received by editor(s) in revised form: January 16, 2010
Published electronically: May 25, 2011
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia