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math.AG2023
Weil cohomology theories and their motivic Hopf algebroids
Joseph Ayoub
In this paper we discuss a general notion of Weil cohomology theories, both in algebraic geometry and in rigid analytic geometry. We allow our Weil cohomology theories to have coef…
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…