… $n$ th cohomology groups are Weil numbers … étale cohomology groups with torsion coefficients
which is key to the applications we have in mind. It is also important to note that the purity …

… of the étale cohomology groups which is … the étale cohomology groups with torsion coefficients
which is key to the applications we have in mind. It is also important to note that the purity …

… Therefore, the morphism of dg-algebras π : M ↠ M ′ : = M / B $\pi:M\twoheadrightarrow M^{\prime
}:=M/B$ induces an isomorphism in cohomology H n ( π ) $H^n(\pi)$ for all n ⩽ ( h − 1 ) / α $n\leqslant …

… Sullivan proved in [Sul77] that if (A, ϕ) satisfies a purity property, ie … to prove new formality
results with torsion coefficients, see eg … In Theorem 4.10, we settle conditions on an homology …

… automorphism lifting a degree twisting isomorphism relative to … of our result, we prove formality
with coefficients in the p-adic … Using étale cohomology with coefficients in Ql instead of Zl, …

… of étale cohomology and the fact that the degree n étale … We also introduce the notion of
α-purity for complexes of bigraded … formality with torsion coefficients [CH18], the notion of partial …

… as coefficients, then the l-adic and de Rham cohomology … results for cohomology with
torsion coefficients to l-coefficients (… of correspondences is only a formality. We then introduce …

… We will then use a general “purity implies formality” result to … facts about Borel-Moore
homology [31]. The i-th Borel-Moore … derived category in the étale topology with coefficients in F. …

… on Hochschild cohomology of affine space (essentially, the formality of … and Artin’s discovery
of étale cohomology that if X is a … There is a de Rham cohomology with Q coefficients and a …

… We consider cohomology with coefficients in Q. The weight … generalizes the construction of
étale cohomology.) This way we … The decomposition follows from the purity of the summands. …