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mixed artin-tate motives

Journal of K-Theory (1)

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Prime Ideals of Mixed Artin-Tate Motives
Tobias J. Peter
Journal:

Journal of K-Theory / Volume 11 / Issue 2 / April 2013

Published online by Cambridge University Press:

06 March 2013, pp. 331-349

Print publication:

April 2013
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We show that for a field k, algebraic over ℚ, and F a field of characteristic zero, the triangular spectra of mixed Tate motives (resp. mixed Artin-Tate motives), denoted by DMT(k)F (resp. DMAT(k)F), are both isomorphic to spec(F). We further compute the Picard groups of DMT(k)F and DMAT(k)ℚ.