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Article
A Note on Detecting Algebraic Cycles
Canadian Mathematical Bulletin (2006)
  • Ravindra Girivaru, University of Missouri-St. Louis
Abstract
The purpose of this note is to show that the homologically trivial cycles contructed by Clemens and their generalisations due to Paranjape can be detected by the technique of spreading out. More precisely, we associate to these cycles (and the ambient varieties in which they live) certain families which arise naturally and which are defined over C and show that these cycles, along with their relations, can be detected in the singular cohomology of the total space of these families.
Disciplines
Publication Date
September 1, 2006
Citation Information
Ravindra Girivaru. "A Note on Detecting Algebraic Cycles" Canadian Mathematical Bulletin Vol. 49 Iss. 3 (2006) p. 464 - 471
Available at: http://works.bepress.com/ravindra-girivaru/26/