The Fourier decomposition on the Chow ring of certain hyperkaehler fourfolds
Charles Vial (Cambridge)  Seminar Algebraische Geometrie (SAG)
What 


When 
Jun 06, 2013 from 10:30 am to 11:30 am 
Where  Bonn, Seminarraum MPI, Vivatsgasse 7 
Contact Name  sachinid 
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Using
a codimension1 algebraic cycle obtained from the Poincare line bundle,
Beauville defined the Fourier transform on the Chow ring of an abelian
variety A and showed that the Fourier transform induces a decomposition
of the Chow ring CH_*(A) which is compatible with its ring structure. We
prove that a similar decomposition exists for certain hyperkaehler
fourfolds by using a codimension2 algebraic cycle representing the
BeauvilleBogomolov bilinear form. This is joint work with Mingmin
Shen.