Mixed Artin-Tate motives over number rings |
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Authors: | Jakob Scholbach |
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Affiliation: | Universität Münster, Mathematisches Institut, Einsteinstr. 62, D-48149 Münster, Germany |
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Abstract: | This paper studies Artin-Tate motives over bases , for a number field F. As a subcategory of motives over S, the triangulated category of Artin-Tate motives is generated by motives , where ? is any finite map. After establishing the stability of these subcategories under pullback and pushforward along open and closed immersions, a motivic t-structure is constructed. Exactness properties of these functors familiar from perverse sheaves are shown to hold in this context. The cohomological dimension of mixed Artin-Tate motives () is two, and there is an equivalence . |
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Keywords: | 19E15 14C35 |
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