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arXiv · 2512.18645

On the Problem of Mixed-Tateness of the Motives of G-Varieties

Somayeh Habibi
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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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Somayeh Habibi. 2025-12-21. On the Problem of Mixed-Tateness of the Motives of G-Varieties. https://arxiv.org/abs/2512.18645

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