Notes on étale cohomology of number fields
Nouvelles surfaces à noeuds dans IP3.
Novikov homology, jump loci and Massey products
Let X be a finite CW complex, and ρ: π 1(X) → GL(l, ℂ) a representation. Any cohomology class α ∈ H 1(X, ℂ) gives rise to a deformation γ t of ρ defined by γ t (g) = ρ(g) exp(t〈α, g〉). We show that the cohomology of X with local coefficients γ gen corresponding to the generic point of the curve γ is computable from a spectral sequence starting from H*(X, ρ). We compute the differentials of the spectral sequence in terms of the Massey products and show that the spectral sequence degenerates in case...
Numerical equivalence and cohomological equivalence for abelian varieties over finite fields. (Equivalence numérique et équivalence cohomologique pour les variétés abéliennes sur les corps finis.)
Numerically positive polynomials for k-ample vector bundles.