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

Remote Access
St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)


Orientations and transfers in cohomology of algebraic varieties

Author: A. L. Smirnov
Translated by: B. M. Bekker
Original publication: Algebra i Analiz, tom 18 (2006), nomer 2.
Journal: St. Petersburg Math. J. 18 (2007), 305-346
MSC (2000): Primary 14F99
Published electronically: March 20, 2007
MathSciNet review: 2244939
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Algebro-geometric cohomology theories are described axiomatically, with a systematic treatment of their orientations. For every oriented theory, transfer mappings are constructed for mappings of smooth varieties that are proper on supports. In some basic cases, transfers are calculated. The presentation is illustrated by motivic cohomology, $ K$-theory, algebraic cobordism, and other examples.

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

Similar Articles

Retrieve articles in St. Petersburg Mathematical Journal with MSC (2000): 14F99

Retrieve articles in all journals with MSC (2000): 14F99

Additional Information

A. L. Smirnov
Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia

PII: S 1061-0022(07)00952-1
Keywords: Algebraic variety, motivic cohomology, algebraic cobordism, orientation, transfer, characteristic class, residue
Received by editor(s): January 10, 2006
Published electronically: March 20, 2007
Additional Notes: Partially supported by RFBR (grant no. 03-01-00633a)
Article copyright: © Copyright 2007 American Mathematical Society

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