-adic analytic spaces.
-adic cycles
-adic etale cohomology
-adic Hodge theory in the semi-stable reduction case.
-divisible groups, finite groups and filtered modules. (Groupes -divisibles, groupes finis et modules filtrés.)
p-adic étale Tate twists and arithmetic duality
Parabolic bundles, elliptic surfaces and SU (2)-representation spaces of genus zero Fuchsian groups.
Parabolic sheaves on higher dimensional varieties.
Parity in Bloch’s conductor formula in even dimension
For a variety over a local field, Bloch proposed a conjectural formula for the alternating sum of Artin conductor of -adic cohomology. We prove that the formula is valid modulo 2 if the variety has even dimension.
Parity sheaves, moment graphs and the -smooth locus of Schubert varieties
We show that the Braden-MacPherson algorithm computes the stalks of parity sheaves. As a consequence we deduce that the Braden-MacPherson algorithm may be used to calculate the characters of tilting modules for algebraic groups and show that the -smooth locus of a (Kac-Moody) Schubert variety coincides with the rationally smooth locus, if the underlying Bruhat graph satisfies a GKM-condition.
Pentes algébriques et pentes analytiques d’un -module
Perfect stratifications and theory of weights.
In this paper we emphasize Deligne's theory of weights, in order to prove that some stratifications of algebraic varieties are perfect. In particular, we study in some detail the Bialynicki-Birula's stratifications and the stratifications considered by F. Kirwan to compute the cohomology of symplectic or geometric quotients. Finally we also appoint the motivic formulation of this approach, which contains the Hodge theoretic formulation.
Periodicity in -groups of certain fields
Periods and duality of -adic Barsotti-Tate groups
Periods and Gauss-Manin Connection for Families of p-Adic Schottky Groups.
Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surface.
PGL (4) acts transitively on M (-1,2).
Picard-Borel-Eigenschaft und Anwendungen.
Pluriadjoint Bundles of Polarized Surfaces.
Pluricanonical systems on minimal algebraic varieties.