24 citations · 49 across the 4 of their papers we have counts for
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math.AG2006★ 23 cited
Sharp de Rham realization
L. Barbieri-Viale, A. Bertapelle
We introduce the "sharp" (universal) extension of a 1-motive (with additive factors and torsion) over a field of characteristic zero. We define the "sharp de Rham realization" by p…
math.AG2006★ 24 cited
1-motivic sheaves and the Albanese functor
J. Ayoub, L. Barbieri-Viale
We introduce n-generated sheaves and n-motivic sheaves, describing completely for n = 0, 1 and proposing a conjecture for n > 1. We then obtain functors Lπ_0 and LAlb on DM_{eff}(k…