Géométrie analytique rigide d'après Tate, Kiehl...
Géométrie rigide et cohomologie des variétés algébriques de caractéristique p
Geometrische Bedingungen für die Integrabilität von Vektor-Feldern auf Teilmengen.
Geometry and analytic theory of Frobenius manifolds.
Geometry and cohomology of certain domains in the complex projective space.
Geometry and function algebra on pseudo-flat manifolds
Geometry of biinvariant subsets of complex semisimple Lie groups
Geometry of currents, intersection theory and dynamics of horizontal-like maps
We introduce a geometry on the cone of positive closed currents of bidegree and apply it to define the intersection of such currents. We also construct and study the Green currents and the equilibrium measure for horizontal-like mappings. The Green currents satisfy some extremality properties. The equilibrium measure is invariant, mixing and has maximal entropy. It is equal to the intersection of the Green currents associated to the horizontal-like map and to its inverse.
Geometry of hypersurfaces and mapping theorems in Cn.
Geometry of Kähler metrics and foliations by holomorphic discs
Geometry of nuclear spaces. II - Linear topological invariants
Geometry of nuclear spaces. III - Spaces of holomorphic functions
Geometry of some twistor spaces of algebraic dimension one
It is shown that there exists a twistor space on the n-fold connected sum of complex projective planes nCP2, whose algebraic dimension is one and whose general fiber of the algebraic reduction is birational to an elliptic ruled surface or a K3 surface. The former kind of twistor spaces are constructed over nCP2 for any n ≥ 5, while the latter kind of example is constructed over 5CP2. Both of these seem to be the first such example on nCP2. The algebraic reduction in these examples is induced by...
Geometry of symmetrized ellipsoids.
Geometry of the Complex Homogeneous Monge-Ampère Equation.
Geometry of the Kepler system in coherent states approach
Geometry of the locus of polynomials of degree 4 with iterative roots
We study polynomial iterative roots of polynomials and describe the locus of complex polynomials of degree 4 admitting a polynomial iterative square root.
Geometry of twisting cochains
Geometry of universal embedding spaces for almost complex manifolds
We investigate the geometry of universal embedding spaces for compact almost-complex manifolds of a given dimension, and related constructions that allow for an extrinsic study of the integrability of almost-complex structures. These embedding spaces were introduced by J-P. Demailly and H. Gaussier, and are complex algebraic analogues of twistor spaces. Their goal was to study a conjecture made by F. Bogomolov asserting the “transverse embeddability” of arbitrary compact complex manifolds into foliated...
Germs of CR maps between real analytic hypersurfaces.