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Prime Ideals of Mixed Artin-Tate Motives

Published online by Cambridge University Press:  06 March 2013

Tobias J. Peter
Tobias J. Peter*
Affiliation:
Mathematics Department, UCLA, Los Angeles, CA 90095-1555, [email protected]
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Abstract

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.

Keywords

mixed Artin-Tate motivestriangulated categoryPicard group14F4218E1018E30
Type
Research Article
Information
Journal of K-Theory , Volume 11 , Issue 2 , April 2013 , pp. 331 - 349
Copyright
Copyright © ISOPP 2013 

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