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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2016.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1139. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn938473339 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr un||||||||| | ||
| 008 | 151120t20162015riua ob 000 0 eng d | ||
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| 066 | |c (S | ||
| 020 | |a 9781470428303 |q (online) | ||
| 020 | |a 147042830X |q (online) | ||
| 020 | |z 9781470417406 |q (alk. paper) | ||
| 020 | |z 1470417405 |q (alk. paper) | ||
| 035 | |a (OCoLC)938473339 | ||
| 050 | 4 | |a QC20.7.F67 |b S34 2016 | |
| 082 | 0 | 4 | |a 516.3/5 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Shen, Mingmin, |d 1983- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjCVMMX4yhqRHDqGfdR8BX | |
| 245 | 1 | 4 | |a The Fourier transform for certain hyperKähler fourfolds / |c Mingmin Shen, Charles Vial. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2016. | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (vii, 163 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 240, number 1139 | |
| 588 | 0 | |a Online resource; title from PDF title page (viewed February 16, 2016). | |
| 500 | |a "Volume 240, number 1139 (fifth of 5 numbers), March 2016." | ||
| 504 | |a Includes bibliographical references (pages 161-163). | ||
| 505 | 0 | 0 | |6 880-01 |t Introduction -- |t The Cohomological Fourier Transform -- |t The Fourier Transform on the Chow Groups of HyperKähler Fourfolds -- |t The Fourier Decomposition Is Motivic -- |t First Multiplicative Results -- |t An Application to Symplectic Automorphisms -- |t On the Birational Invariance of the Fourier Decomposition -- |t An Alternate Approach to the Fourier Decomposition on the Chow Ring of Abelian Varieties -- |t Multiplicative Chow-Künneth Decompositions -- |t Algebraicity of B for HyperKähler Varieties of K3[superscript n]-type -- |t Basics on the Hilbert Scheme of Length-2 Subschemes on a Variety X -- |t The Incidence Correspondence I -- |t Decomposition Results on the Chow Groups of X⁽²⁾ -- |t The Fourier Decomposition for S⁽²⁾ -- |t The Fourier Decomposition for S⁽²⁾ is Multiplicative -- |t The Cycle L of S⁽²⁾ via Moduli of Stable Sheaves -- |t The Incidence Correspondence I -- |t The Rational Self-Map [varphi] : F --> F -- |t The Fourier Decomposition for F -- |t A First Multiplicative Result -- |t The Rational Self-Map [varphi] :F --> F and the Fourier Decomposition -- |t The Fourier Decomposition for F is Multiplicative -- |g Appendix A. |t Some Geometry of Cubic Fourfolds -- |g Appendix B. |t Rational Maps and Chow Groups. |
| 520 | |a 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. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Fourier transformations. | |
| 650 | 0 | |a Kählerian manifolds. | |
| 650 | 4 | |a Keahlerian manifolds. | |
| 650 | 6 | |a Variétés kählériennes. | |
| 650 | 7 | |a Fourier transformations |2 fast | |
| 650 | 7 | |a Kählerian manifolds |2 fast | |
| 700 | 1 | |a Vial, Charles, |d 1983- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjDTJMDw88x9hWR49kv9wC | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a The Fourier transform for certain hyperKähler fourfolds (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGHXPjPTHdq8cXqjVkWMT3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1139. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4901858 |z Texto completo |
| 880 | 0 | 0 | |6 505-01/(S |g Machine generated contents note: |g pt. 1 |t Fourier Transform for HyperKahler Fourfolds -- |g ch. 1 |t Cohomological Fourier Transform -- |g ch. 2 |t Fourier Transform on the Chow Groups of HyperKahler Fourfolds -- |g ch. 3 |t Fourier Decomposition Is Motivic -- |g ch. 4 |t First Multiplicative Results -- |g ch. 5 |t Application to Symplectic Automorphisms -- |g ch. 6 |t On the Birational Invariance of the Fourier Decomposition -- |g ch. 7 |t Alternate Approach to the Fourier Decomposition on the Chow Ring of Abelian Varieties -- |g ch. 8 |t Multiplicative Chow-Kunneth Decompositions -- |g ch. 9 |t Algebraicity of B for HyperKahler Varieties of K3[n]-type -- |g pt. 2 |t Hilbert Scheme S[2] -- |g ch. 10 |t Basics on the Hilbert Scheme of Length-2 Subschemes on a Variety X -- |g ch. 11 |t Incidence Correspondence I -- |g ch. 12 |t Decomposition Results on the Chow Groups of X[2] -- |g ch. 13 |t Multiplicative Chow--Kunneth Decomposition for X[2] -- |g ch. 14 |t Fourier Decomposition for S[2] -- |g ch. 15 |t Fourier Decomposition for S[2] Multiplicative -- |g ch. 16 |t Cycle L of S[2] via Moduli of Stable Sheaves -- |g pt. 3 |t Variety of Lines on a Cubic Fourfold -- |g ch. 17 |t Incidence Correspondence I -- |g ch. 18 |t Rational Self-Map φ: F [→] F -- |g ch. 19 |t Fourier Decomposition for F -- |g ch. 20 |t First Multiplicative Result -- |g ch. 21 |t Rational Self-Map φ: F [→] F and the Fourier Decomposition -- |g ch. 22 |t Fourier Decomposition for F is Multiplicative. |
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| 938 | |a ProQuest Ebook Central |b EBLB |n EBL4901858 | ||
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