Volume 10 (2007)

Download this article
For screen
For printing
Recent Volumes
Volume 1, 1998
Volume 2, 1999
Volume 3, 2000
Volume 4, 2002
Volume 5, 2002
Volume 6, 2003
Volume 7, 2004
Volume 8, 2006
Volume 9, 2006
Volume 10, 2007
Volume 11, 2007
Volume 12, 2007
Volume 13, 2008
Volume 14, 2008
Volume 15, 2008
Volume 16, 2009
Volume 17, 2011
Volume 18, 2012
Volume 19, 2015
The Series
MSP Books and Monographs
About this Series
Editorial Board
Ethics Statement
Author Index
Submission Guidelines
Author Copyright Form
Purchases
ISSN (electronic): 1464-8997
ISSN (print): 1464-8989
Other MSP Publications

Cohomology operations and algebraic geometry

Simone Borghesi

Geometry & Topology Monographs 10 (2007) 75–115

DOI: 10.2140/gtm.2007.10.75

arXiv: 0903.4360

Abstract

The manuscript is an overview of the motivations and foundations lying behind Voevodsky’s ideas of constructing categories similar to the ordinary topological homotopy categories. The objects of these categories are strictly related to algebraic varieties and preserve some of their algebraic invariants.

Keywords

motivic cohomology, Grothendieck topologies, homotopy categories

Mathematical Subject Classification

Primary: 14F42, 18D10

Secondary: 14F20, 18F10

References
Publication

Received: 2 December 2004
Revised: 9 September 2005
Published: 29 January 2007

Authors
Simone Borghesi
Universitá degli Studi di Milano-Bicocca
Dipartimento di Matematica e Applicazioni
via Cozzi 53
20125 Milano
Italy