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tt-geometry of Tate motives over algebraically closed fields

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We study Tate motives with integral coefficients through the lens of tensor triangular geometry. For some base fields, including $\overline{\mathbb{Q}}$ and $\overline{\mathbb{F}_{p}}$ , we arrive at a complete description of… Click to show full abstract

We study Tate motives with integral coefficients through the lens of tensor triangular geometry. For some base fields, including $\overline{\mathbb{Q}}$ and $\overline{\mathbb{F}_{p}}$ , we arrive at a complete description of the tensor triangular spectrum and a classification of the thick tensor ideals.

Keywords: tate motives; algebraically closed; motives algebraically; geometry; geometry tate; closed fields

Journal Title: Compositio Mathematica
Year Published: 2019

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