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The Fourier Transform for Certain HyperKahler Fourfolds (Memoirs of the American Mathematical Society)

Algebra

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About the Author Mingmin Shen, Korteweg-de Vries Institute for Mathematics, University of Amsterdam, The Netherlands.Charles Vial, University of Cambridge, United Kingdom. Product 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.

Product Specifications

Format: paperback
ASIN: 1470417405
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 30 March 2016
Listed Since: 17 December 2015

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The Fourier Transform for Certain HyperKahler Fourfolds (Memoirs of the American Mathematical Society)

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