Fourier transform on certain hyperkahler fourfolds

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• Mingmin Shen (Cambridge)
• Wednesday 06 November 2013, 14:15-15:15
• MR 13, CMS.

If you have a question about this talk, please contact Dr. J Ross.

Using a codimension-1 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 codimension-2 algebraic cycle representing the Beauville—Bogomolov bilinear form. This is joint work with Charles Vial.

This talk is part of the Algebraic Geometry Seminar series.

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