Cohomology of local systems on the complement of hyperplanes (Erratum).
Cohomology of non-complete algebraic varieties
Coleman integration versus Schneider integration on semistable curves.
Combinatorics and Topology of Complements of Hyperplanes.
Comparaison entre la cohomologie algébrique et la cohomologie p-adique rigide à coefficiets dans un module différentiel. II. Cas des singularités régulières á plusieures variables.
Comparaison entre la cohomologie algébrique et la cohomologie -adique rigide à coefficients dans un nodule différentiel
Comparison theorems between algebraic and analytic De Rham cohomology (with emphasis on the -adic case)
We present a panorama of comparison theorems between algebraic and analytic De Rham cohomology with algebraic connections as coefficients. These theorems have played an important role in the development of -module theory, in particular in the study of their ramification properties (irregularity...). In part I, we concentrate on the case of regular coefficients and sketch the new proof of these theorems given by F. Baldassarri and the author, which is of elementary nature and unifies the complex...
Complément à l'article de P. Deligne "La conjecture de Weil pour les surfaces K3".
Complexe de de Rham filtré d'une variété singulière
Complexe de De Rham-Witt à coefficients dans un cristal
Complexe de de Rham-Witt et cohomologie cristalline
Complexe dualisant et applications à la classe fondamentale d'un cycle
Computing Gauss-Manin systems for complete intersection singularities .
Cycles de Hodge absolus et périodes des intégrales des variétés abéliennes. (Rédigé par J. L. Brylinski)
Cycles of algebraic manifolds and -cohomology
De Rham cohomology and homotopy Frobenius manifolds
We endow the de Rham cohomology of any Poisson or Jacobi manifold with a natural homotopy Frobenius manifold structure. This result relies on a minimal model theorem for multicomplexes and a new kind of a Hodge degeneration condition.
De Rham cohomology of affinoid spaces
de Rham Theory for Tame Stacks and Schemes with Linearly Reductive Singularities
We prove that the Hodge-de Rham spectral sequence for smooth proper tame Artin stacks in characteristic (as defined by Abramovich, Olsson, and Vistoli) which lift mod degenerates. We push the result to the coarse spaces of such stacks, thereby obtaining a degeneracy result for schemes which are étale locally the quotient of a smooth scheme by a finite linearly reductive group scheme.
De Rham-Witt cohomology and displays.
Deformations of free and linear free divisors
We study deformations of free and linear free divisors. We introduce a complex similar to the de Rham complex whose cohomology calculates the deformation spaces. This cohomology turns out to be zero for all reductive linear free divisors and to be constructible for Koszul free divisors and weighted homogeneous free divisors.