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

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

2008-09-29

arxiv.org/abs/0809.5070v1

Mathematics

Algebraic Geometry

13 pages

Scientific paper

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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