The fine-category conjecture for the category of mixed motives

Let DM\mathsf{DM}^\otimes be the Q{\mathbb{Q}}-linear symmetric monoidal stable presentable \infty-category of mixed motives. A symmetric monoidal stable presentable \infty-category is called fine when it has the finiteness properties considered in the paper. Fine-category conjecture for mixed motives. The category DM\mathsf{DM}^\otimes is a fine \infty-category. The claim is presented as a natural expectation concerning the structure of mixed motives; the source gives no resolution, so it remains open.

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Primary source

Isamu Iwanari, “Tannaka duality and stable infinity-categories”, arXiv:1409.3321 (2018).

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