The Fourier Transform for Certain HyperKahler Fourfolds

The Fourier Transform for Certain HyperKahler Fourfolds
Author :
Publisher : American Mathematical Soc.
Total Pages : 178
Release :
ISBN-10 : 9781470417406
ISBN-13 : 1470417405
Rating : 4/5 (405 Downloads)

Book Synopsis The Fourier Transform for Certain HyperKahler Fourfolds by : Mingmin Shen

Download or read book The Fourier Transform for Certain HyperKahler Fourfolds written by Mingmin Shen and published by American Mathematical Soc.. This book was released on 2016-03-10 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using a codimension-1 algebraic cycle obtained from the Poincaré 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, the authors give evidence for the existence of a similar decomposition for the Chow ring of Hyperkähler 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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