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arXiv · 1705.10502

Chow motives without projectivity, II

J. Wildeshaus
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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.

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J. Wildeshaus. 2017-05-30. Chow motives without projectivity, II. https://doi.org/10.1093/imrn%2Frny257

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