Chow groups of weighted hypersurfaces

Leoni, Marco

doi:10.1016/s0764-4442(00)00217-2

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Proposition 8 ([5]1

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2010

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“…A similar definition holds for complete intersections. The construction of generalized linear spaces can be used to prove: Proposition 9 ( [12]). Let X be a complete intersection of multidegree (d 1 , .…”

Section: Proposition 8 ([5]mentioning

confidence: 99%

Bloch-Type Conjectures and an Example a Three-Fold of General Type

Peters

2010

Commun. Contemp. Math.

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The hypothetical existence of a good theory of mixed motives predicts many deep phenomena related to algebraic cycles. One of these, a generalization of Bloch's conjecture says that "small Hodge diamonds" go with "small Chow groups". Voisin's method [22] (which produces examples with small Chow groups) is analyzed carefully to widen its applicability. A threefold of general type without 1-and 2-forms is exhibited for which this extension yields Bloch's generalized conjecture.

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Section: Proposition 8 ([5]mentioning

confidence: 99%