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The Generalized Bloch Conjecture for the quotient of certain Calabi-Yau varieties

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arxiv 0809.5070 v1 pith:QRTY2SWW submitted 2008-09-29 math.AG

classification math.AG
keywords cyclesquotientconjecturegeneralizedvarietiesblochcertaincodimension
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In this paper, the generalized Bloch Conjecture on zero cycles for the quotient of certain complete intersections with trivial canonical bundle is proved to hold. As an application of Bloch-Srinivas method on the decomposition of the diagonal, we compute the rational coefficient Lawson homology for 1-cycles and codimension two cycles for these quotient varieties. The (Generalized) Hodge Conjecture is proved to hold for codimension two cycles (and hence also for 2-cycles) on these quotient varieties.

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