Hodge-Type Conjecture for Higher Chow Groups
نویسندگان
چکیده
منابع مشابه
Hodge-type Conjecture for Higher Chow Groups
Let X be a smooth quasi-projective variety over the algebraic closure of the rational number field. We show that the cycle map of the higher Chow group to Deligne cohomology is injective and the higher Hodge cycles are generated by the image of the cycle map as conjectured by Beilinson and Jannsen, if the cycle map to Deligne cohomology is injective and the Hodge conjecture is true for certain ...
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This conjecture was proved in [9] if X is not of general type, but the general case still remains open. It was suggested in [36] that condition (a) in the case pg(X) = 0 would be related closely to the following conditions: (b) ind limUH 3 D(U,Q(2)) = 0, where U runs over nonempty open subvarieties of X . (c) The cycle map CH(U, 1)Q → H D(U,Q(2)) is surjective for any open subvarieties U of X ....
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ژورنال
عنوان ژورنال: Pure and Applied Mathematics Quarterly
سال: 2009
ISSN: 1558-8599,1558-8602
DOI: 10.4310/pamq.2009.v5.n3.a3