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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.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1139. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Introduction
- The Cohomological Fourier Transform
- The Fourier Transform on the Chow Groups of HyperKähler Fourfolds
- The Fourier Decomposition Is Motivic
- First Multiplicative Results
- An Application to Symplectic Automorphisms
- On the Birational Invariance of the Fourier Decomposition
- An Alternate Approach to the Fourier Decomposition on the Chow Ring of Abelian Varieties
- Multiplicative Chow-Künneth Decompositions
- Algebraicity of B for HyperKähler Varieties of K3[superscript n]-type
- Basics on the Hilbert Scheme of Length-2 Subschemes on a Variety X
- The Incidence Correspondence I
- Decomposition Results on the Chow Groups of X⁽²⁾
- The Fourier Decomposition for S⁽²⁾
- The Fourier Decomposition for S⁽²⁾ is Multiplicative
- The Cycle L of S⁽²⁾ via Moduli of Stable Sheaves
- The Incidence Correspondence I
- The Rational Self-Map [varphi] : F
- > F
- The Fourier Decomposition for F
- A First Multiplicative Result
- The Rational Self-Map [varphi] :F
- > F and the Fourier Decomposition
- The Fourier Decomposition for F is Multiplicative
- Appendix A. Some Geometry of Cubic Fourfolds
- Appendix B. Rational Maps and Chow Groups.