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A Note on Detecting Algebraic Cycles

  Published:2006-09-01
 Printed: Sep 2006
  • G. V. Ravindra
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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 $\bbC$ and show that these cycles, along with their relations, can be detected in the singular cohomology of the total space of these families.
MSC Classifications: 14C25 show english descriptions Algebraic cycles 14C25 - Algebraic cycles
 

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