Chow motives without projectivity, II
arXiv:1705.10502 · doi:10.1093/imrn/rny257
Abstract
The purpose of this article is to provide a simplified construction of the intermediate extension of a Chow motive, provided a condition on absence of weights in the boundary is satisfied. We give a criterion, which guarantees the validity of the condition, and compare our new construction to the theory of the interior motive established earlier. We finish the article with a review of the known applications to the boundary of Shimura varieties.
43 pages; accepted for publication in Int. Math. Res. Not. IMRN. One new chapter added ("5 Examples: the boundary of certain Shimura varieties"), new numbering of the sections, which is now compatible with the version to be published