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A Note on Detecting Algebraic Cycles

Published online by Cambridge University Press:  20 November 2018

G. V. Ravindra
G. V. Ravindra*
Affiliation:
Department of Mathematics, Washington University, St. Louis, MO 63130, U.S.A. e-mail: ravindra@math.wustl.edu
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Abstract

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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 $\mathbb{C}$ and show that these cycles, along with their relations, can be detected in the singular cohomology of the total space of these families.

Keywords

14C25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 3 , 01 September 2006 , pp. 464 - 471
Copyright
Copyright © Canadian Mathematical Society 2006

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