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1-motivic sheaves

Journal of K-Theory (1)

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Remarks on 1–motivic sheaves
Alessandra Bertapelle
Journal:

Journal of K-Theory / Volume 12 / Issue 2 / October 2013

Published online by Cambridge University Press:

13 December 2013, pp. 363-380

Print publication:

October 2013
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We generalize the construction of the category of 1–motives with torsion in [2] as well as the construction of the category of 1–motivic sheaves Shv1 in [1] to perfect fields k (without inverting the exponential characteristic). For k transcendental over the prime field we extend a result in [1] showing that and Shv1 have equivalent bounded derived categories.