Geodesic
A Note on Detecting Algebraic Cycles
Canadian mathematical bulletin, Tome 49 (2006) no. 3, pp. 464-471

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-2006-045-4
Mots-clés : 14C25 
Ravindra, G. V. A Note on Detecting Algebraic Cycles. Canadian mathematical bulletin, Tome 49 (2006) no. 3, pp. 464-471. doi: 10.4153/CMB-2006-045-4
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