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Algebraic cycles and Hodge theory on generalized Reye congruences. (English) Zbl 0816.14004
The paper is devoted to the study of the general $$n$$-dimensional complete intersections of symmetric divisors of bidegree (1,1) in $$\mathbb{P}^{n+1} \times \mathbb{P}^{n+1}$$. These varieties are generalizations of the classical Reye congruence. In particular the generalized Grothendieck Hodge conjecture is checked for these varieties.
Reviewer: A.Buium (Bonn)

##### MSC:
 14C25 Algebraic cycles 14C30 Transcendental methods, Hodge theory (algebro-geometric aspects) 14M10 Complete intersections 14N05 Projective techniques in algebraic geometry
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##### References:
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