Volume 10 (2007)
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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