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.
Subject
Algebra and Number Theory
Reference41 articles.
1. f-catégories, tours et motifs de Tate;Wildeshaus;C. R. Math. Acad. Sci. Paris,2009
2. Milnor K-theory is the simplest part of algebraic K-theory;Totaro;J. K-Theory,1992
3. The homogeneous spectrum of Milnor–Witt K-theory
4. [Por15] M. Porta , Universal property of triangulated derivators via Keller’s towers, Preprint (2015),arXiv:1512.02691.
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