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Title:
Constructing algebraic cycles on products of K3 surfaces via hyperholomorphic bundles
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Abstract:
Let Z be a rational cohomology class of Hodge type (2,2) on the product XxY of two K3 surfaces. If Z induces an isometry of the second rational cohomologies of X and Y, then Z is algebraic, by a recent result of Buskin, extending work of Mukai. We will report on Buskin’s result and on related work in progress.
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