On the non-existence of Tensor Products of Algebraic Cycles

Mathematics – Algebraic Topology

Scientific paper

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13 pages

Scientific paper

Let $\otimes$ be the map which classifies the tensor product of two line
bundles, an extension of this map to the space of all codimension 1 algebraic
cycles is constructed. It is proved that this extension cannot exist in
codimension greater than 1.

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