The Fourier Transform for Certain HyperKähler Fourfolds /
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| Author / Creator: | Shen, Mingmin, 1983- author. |
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| Imprint: | Providence, RI : American Mathematical Society, 2016. ©2015. |
| Description: | vii, 163 pages ; 25 cm. |
| Language: | English |
| Series: | Memoirs of the American Mathematical Society, 0065-9266 ; volume 240, number 1139 Memoirs of the American Mathematical Society ; no. 1139. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/10512678 |
| Summary: | 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. |
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| Item Description: | "Volume 240, number 1139 (fifth of 5 numbers), March 2016." |
| Physical Description: | vii, 163 pages ; 25 cm. |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9781470417406 1470417405 |
| ISSN: | 0065-9266 ; |
