-modules arithmétiques. II: Descente par Frobenius
-modules micro-localement libres de rang 1 et connexions non-intégrables en dimension 2
Dans un article sur la transformation de Radon-Penrose, A. D’Agnolo et P. Schapira ont montré qu’au-dessus d’une variété complexe de dimension , tout - module localement libre de rang est de la forme pour un fibré inversible sur . Ce résultat est faux en dimension , et le but de ce travail est de déterminer la structure des - modules micro-localement libres de rang dans ce cas. Un des principaux résultat est la description des -modules micro-localement libres de rang un en termes...
A logarithmic Dolbeault complex
A Riemann-Roch-Hirzebruch formula for traces of differential operators
Let be a holomorphic differential operator acting on sections of a holomorphic vector bundle on an -dimensional compact complex manifold. We prove a formula, conjectured by Feigin and Shoikhet, giving the Lefschetz number of as the integral over the manifold of a differential form. The class of this differential form is obtained via formal differential geometry from the canonical generator of the Hochschild cohomology of the algebra of differential operators on a formal neighbourhood of a...
Algebraic study of systems of partial differential equations
Algebraic study of systems of partial differential equations
An analogue of holonomic -modules on smooth varieties in positive characteristics.
An elementary theory of hyperfunctions and microfunctions
Basic covariant differential operators on hermitian symmetric spaces
Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves
Boundary values, Fourier-Sato transform and Laplace transform.
Classes caractéristiques et théorèmes d'indice : point de vue microlocal
Classification of -modules with regular singularities along normal crossings
Comparaison des facteurs duaux des isocristaux surconvergents
Comparing modules of differential operators by their evaluation on polynomials
Conic sheaves on subanalytic sites and Laplace transform
Continuous division of differential operators
In this paper, we give a new proof of the continuity of division by differential operators with analytic coefficients, originally proved by Mebkhout and the second author. Our methods come from the proof of the Constant Rank Theorem for analytic maps between power series spaces, given by Müller and the first author.
Coomologia e forme differenziali sugli spazi analitici complessi
Correspondance de -modules et transformation de Penrose
Covariant differential operators.