The Fourier transform for certain hyperKähler fourfolds

The Fourier transform for certain hyperKähler fourfolds

by Shen, Mingmin

Type Book
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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 \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 Hyperkähler varieties deformation equivalent to the Hilbert sche…

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Title Statements

  • Full title :The Fourier transform for certain hyperKähler fourfolds / Mingmin Shen, Charles Vial.

Summary

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 \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 Hyperkähler varieties deformation equivalent to the Hilbert scheme of length-2 subschemes on a K3 surface. They indeed establish the existence of such a decompositio.

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Edition Statements

  • Publication Date:©2015

Publication Statements

Notes

"Volume 240, number 1139 (fifth of 5 numbers), March 2016."

The Physical Object

  • Description:1 online resource (vii, 163 pages) : : illustrations

Edition Identifiers

  • ISBN:9781470428303, 147042830X
  • oclc:ocn938473339
  • LC Classification:QC20.7.F67
  • Dewey Decimal:516.3/5

Subjects

Fourier transformations Kählerian manifolds Keahlerian manifolds Variétés kählériennes

Writers

Shen, Mingmin Vial, Charles

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