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|
|Number of pages||6|
|Journal||Comptes Rendus Mathematique|
|Publication status||Published - 2002 Nov 1|
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