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The Fourier transform for certain hyperKähler fourfolds /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Shen, Mingmin, 1983- (Autor), Vial, Charles, 1983- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2016.
Colección:Memoirs of the American Mathematical Society ; no. 1139.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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.
Notas:"Volume 240, number 1139 (fifth of 5 numbers), March 2016."
Descripción Física:1 online resource (vii, 163 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 161-163).
ISBN:9781470428303
147042830X
ISSN:0065-9266 ;