Hostname: page-component-7857688df4-cdr9j Total loading time: 0 Render date: 2025-11-14T18:38:58.469Z Has data issue: false hasContentIssue false
  • English
  • Français

Algebraic equivalence of cycles and algebraic models of smooth manifolds

Published online by Cambridge University Press:  04 December 2007

W. Kucharz
W. Kucharz
Affiliation:
Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germanykucharz@math.unm.edu Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131-1141, USA
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

On a real algebraic variety there may exist an algebraic cycle that is algebraically equivalent to zero and whose cohomology class is non-zero. The group of such cohomology classes can be highly non-trivial. It is interesting since it allows one to detect cohomology classes, in complementary dimension, which cannot be represented by algebraic cycles.

Keywords

real algebraic varietyalgebraic cyclecohomology class14P2514C25

Information

Type
Research Article
Information
Compositio Mathematica , Volume 140 , Issue 2 , March 2004 , pp. 501 - 510
Copyright
Foundation Compositio Mathematica 2004