Projecteurs de Chow-Künneth pour des variétés modulaires

B. Brent Gordon; Masaki Hanamura; Jacob P. Murre

doi:10.1016/S1631-073X(02)02506-2

Projecteurs de Chow-Künneth pour des variétés modulaires

Translated title of the contribution: Chow-Künneth projectors for modular varieties

B. Brent Gordon, Masaki Hanamura, Jacob P. Murre

Research output: Contribution to journal › Article › peer-review

Abstract

We show the existence of the Chow-Künneth projectors for certain varieties, including Kuga-Shimura varieties of Hilbert modular varieties. The Chow-Künneth projectors of a smooth projective variety are, by definition, mutually orthogonal idempotents of the Chow ring of self-correspondences which give decomposition of the total cohomology of the variety into degree pieces.

Translated title of the contribution	Chow-Künneth projectors for modular varieties
Original language	French
Pages (from-to)	745-750
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	335
Issue number	9
DOIs	https://doi.org/10.1016/S1631-073X(02)02506-2
Publication status	Published - 2002 Nov 1
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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10.1016/S1631-073X(02)02506-2

Cite this

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abstract = "We show the existence of the Chow-K{\"u}nneth projectors for certain varieties, including Kuga-Shimura varieties of Hilbert modular varieties. The Chow-K{\"u}nneth projectors of a smooth projective variety are, by definition, mutually orthogonal idempotents of the Chow ring of self-correspondences which give decomposition of the total cohomology of the variety into degree pieces.",

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Projecteurs de Chow-Künneth pour des variétés modulaires

Abstract

ASJC Scopus subject areas

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