The invariant holonomic system on a semisimple Lie algebra.
The Kobayashi metric on complex spaces.
The Levi problem for cohomology classes
In this paper we extend to complex spaces and coherent analytic sheaves some results of Andreotti and Norguet concerning the extension of cohomology classes.
The Levi Problem on Complex Spaces with Singularities.
The Lie group of real analytic diffeomorphisms is not real analytic
We construct an infinite-dimensional real analytic manifold structure on the space of real analytic mappings from a compact manifold to a locally convex manifold. Here a map is defined to be real analytic if it extends to a holomorphic map on some neighbourhood of the complexification of its domain. As is well known, the construction turns the group of real analytic diffeomorphisms into a smooth locally convex Lie group. We prove that this group is regular in the sense of Milnor. ...
The Local Hull of Holomorphy of a Surface in the Space of Two Complex Variables.
The Milnor fiber and the zeta function of the singularities of type
The moduli of quotients of a compact complex space.
The Poincaré-Lelong equation on complete Kähler manifolds
The Seiberg–Witten invariants of negative definite plumbed 3-manifolds
Assume that is a connected negative definite plumbing graph, and that the associated plumbed 3-manifold is a rational homology sphere. We provide two new combinatorial formulae for the Seiberg–Witten invariant of . The first one is the constant term of a ‘multivariable Hilbert polynomial’, it reflects in a conceptual way the structure of the graph , and emphasizes the subtle parallelism between these topological invariants and the analytic invariants of normal surface singularities. The second...
The Signature of Milnor Fibres and Duality Theorem for Strongly Pseudoconvex Manifolds.
The space of Surface group representations.
The super complex Frobenius theorem
We formulate and prove a super analogue of the complex Frobenius theorem of Nirenberg.
The trace formula for equivariant D-modules and perverse sheaves.
The union problem on complex manifolds.
The use of D-modules to study exponential polynomials
This is a summary of recent work where we introduced a class of D-modules adapted to study ideals generated by exponential polynomials.
Théorèmes de dualité globale pour les Dx-modules cohérents.
Théorèmes de séparation et de finitude pour l’homologie et la cohomologie des espaces -convexes-concaves
Thin Complements of Complete Kähler Domains.
Topologie des hypersurfaces pfaffiennes