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On the Problem of Mixed-Tateness of the Motives of G-Varieties (2512.18645v1)

Published 21 Dec 2025 in math.AG

Abstract: Building on earlier work concerning the motives of $G$-bundles, we study the structure of motives associated with certain classes of $G$-varieties. In particular, we show that the corresponding motives lie within the category of mixed-Tate motives, under certain condition on the stabilizers. We further discuss some applications and provide some examples to illustrate the limitations.

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