The Fourier Transform for Certain Hyperkahler Fourfolds

@inproceedings{Shen2013TheFT,
  title={The Fourier Transform for Certain Hyperkahler Fourfolds},
  author={Mingmin Shen and Charles Vial},
  year={2013}
}
Using a codimension-1 algebraic cycle obtained from the Poincare line bundle, Beauville defined the Fourier transform on the Chow groups of an abelian variety A and showed that the Fourier transform induces a decomposition of the Chow ring CH∗(A). By using a codimension-2 algebraic cycle representing the Beauville-Bogomolov class, we give evidence for the existence of a similar decomposition for the Chow ring of hyperKahler varieties deformation equivalent to the Hilbert scheme of length-2… Expand
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