On the cohomology ring of compact hyperkähler manifolds
نویسنده
چکیده
The Chow ring of a smooth algebraic variety V , denoted CH∗(V ), is an analogue of the cohomology ring that is more closely related to the algebraic, rather than topological, aspects of the variety. For a d-dimensional abelian variety A over a field k, let  = Pic(A) be its dual, the variety parameterising principal line bundles on A, and for a ∈  denote the line bundle parameterised by a as La. The Poincaré line bundle L on A × Â is a line bundle satisfying the universal property such that ∀a ∈ Â,La ∼= L|A×{a} and L|{0}× is trivial. The first Chern class of L gives an element of CH(A × Â), which we denote L, that allows us to define the Fourier transform on the Chow group by:
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