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math.NT2010
On the Weil-étale cohomology of number fields
Baptiste Morin
We give a direct description of the category of sheaves on Lichtenbaum's Weil-étale site of a number ring. Then we apply this result to define a spectral sequence relating Weil-éta…
math.NT2010
Sur l'analogie entre le système dynamique de Deninger et le topos Weil-étale
Baptiste Morin
We express some basic properties of Deninger's conjectural dynamical system in terms of morphisms of topoi. Then we show that the current definition of the Weil-étale topos satisfi…
math.NT2010
The Weil-étale fundamental group of a number field I
Baptiste Morin
Lichtenbaum has conjectured the existence of a Grothendieck topology for an arithmetic scheme such that the Euler characteristic of the cohomology groups of the constant sheaf…