Mingmin Shen 
Fourier Transform for Certain HyperKaehler Fourfolds [PDF ebook] 

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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 Hyperkaehler 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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Formato PDF ● Pagine 161 ● ISBN 9781470428303 ● Casa editrice American Mathematical Society ● Pubblicato 2016 ● Scaricabile 3 volte ● Moneta EUR ● ID 8057067 ● Protezione dalla copia Adobe DRM
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