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The Fourier Transform for Certain HyperKahler Fourfolds Paperback / softback
by Mingmin Shen, Charles Vial
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
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Description
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 $\mathrm{CH}^*(A)$.
By using a codimension-$2$ algebraic cycle representing the Beauville-Bogomolov class, the authors give evidence for the existence of a similar decomposition for the Chow ring of Hyperkahler varieties deformation equivalent to the Hilbert scheme of length-$2$ subschemes on a K3 surface.
They indeed establish the existence of such a decomposition for the Hilbert scheme of length-$2$ subschemes on a K3 surface and for the variety of lines on a very general cubic fourfold.
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Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:161 pages
- Publisher:American Mathematical Society
- Publication Date:30/04/2016
- Category:
- ISBN:9781470417406
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:161 pages
- Publisher:American Mathematical Society
- Publication Date:30/04/2016
- Category:
- ISBN:9781470417406