Algebraic cycles on hyper-K\"ahler varieties of generalized Kummer type
Abstract
We prove the conjectures of Hodge and Tate for any four-dimensional hyper-K\"ahler variety of generalized Kummer type. For an arbitrary variety X of generalized Kummer type, we show that all Hodge classes in the subalgebra of the rational cohomology generated by H2(X,Q) are algebraic.
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