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arXiv · 0801.3153

Remarks on 1-motivic sheaves

Alessandra Bertapelle
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Abstract

We generalize the construction of the category of 1-motives with torsion ${}^tM_1$ (introduced by Barbieri-Viale, Rosenschon and Saito) as well as the construction of the category of 1-motivic sheaves ${\rm Shv}_1$ (defined by Barbieri-Viale and Kahn) to perfect fields $k$ (without inverting the exponential characteristic). For $k$ transcendental over the prime field we extend a result of Barbieri-Viale and Kahn, showing that ${}^tM$ and ${\rm Shv}_1$ have equivalent bounded derived categories.

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Alessandra Bertapelle. 2012-05-24. Remarks on 1-motivic sheaves. https://arxiv.org/abs/0801.3153

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