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-étale cohomology to Artin-Verdier étale cohomology. Finally we construct complexes of étale sheaves computing the expected Weil-étale cohomology
Let $X$ be a topological space and $k$ a field of characteristic $p$. Let $A^\cdot$ be a bounded bel...
AbstractA lot of good properties of étale cohomology only hold for torsion coefficients. We use ultr...
In [11], Lichtenbaum established the arithmetic utility of the Weil group of a finite field, by demo...
We give a direct description of the category of sheaves on Lichtenbaum's Weil-étale site of a number...
Lichtenbaum has conjectured (Ann of Math. (2) 170(2) (2009), 657–683) the existence of a Grothendiec...
Lichtenbaum has conjectured (Ann of Math. (2) 170(2) (2009), 657-683) the existence of a Grothendiec...
We establish various properties of the definition of cohomology of topological groups given by Groth...
We define the fundamental group underlying the Weil-étale cohomology of number rings. To this aim, w...
Abstract. A fast introduction to the the construction of the cohomology of sheaves pioneered by A. G...
We define and study a Weil-étale topos for any regular, proper scheme X over Spec(Z) which has some...
The construction of the Khovanov homology of links motivates an interest in decorated Boolean lattic...
The first half of this thesis involves the study of Weil-numbers and their properties. Using charact...
The original article expressed the special values of the zeta function of a variety over a finite fi...
For a site S (with enough points), we construct a topological space X(S) and a full embedding ' of t...
We construct spectral sequences in the framework of Baues–Wirsching cohomology and homology for func...
Let $X$ be a topological space and $k$ a field of characteristic $p$. Let $A^\cdot$ be a bounded bel...
AbstractA lot of good properties of étale cohomology only hold for torsion coefficients. We use ultr...
In [11], Lichtenbaum established the arithmetic utility of the Weil group of a finite field, by demo...
We give a direct description of the category of sheaves on Lichtenbaum's Weil-étale site of a number...
Lichtenbaum has conjectured (Ann of Math. (2) 170(2) (2009), 657–683) the existence of a Grothendiec...
Lichtenbaum has conjectured (Ann of Math. (2) 170(2) (2009), 657-683) the existence of a Grothendiec...
We establish various properties of the definition of cohomology of topological groups given by Groth...
We define the fundamental group underlying the Weil-étale cohomology of number rings. To this aim, w...
Abstract. A fast introduction to the the construction of the cohomology of sheaves pioneered by A. G...
We define and study a Weil-étale topos for any regular, proper scheme X over Spec(Z) which has some...
The construction of the Khovanov homology of links motivates an interest in decorated Boolean lattic...
The first half of this thesis involves the study of Weil-numbers and their properties. Using charact...
The original article expressed the special values of the zeta function of a variety over a finite fi...
For a site S (with enough points), we construct a topological space X(S) and a full embedding ' of t...
We construct spectral sequences in the framework of Baues–Wirsching cohomology and homology for func...
Let $X$ be a topological space and $k$ a field of characteristic $p$. Let $A^\cdot$ be a bounded bel...
AbstractA lot of good properties of étale cohomology only hold for torsion coefficients. We use ultr...
In [11], Lichtenbaum established the arithmetic utility of the Weil group of a finite field, by demo...