Closures of open analytic polyhedra
Cohomologically complete and pseudoconvex domains.
Cohomology with bounds and Carleman estimates for the -operator on Stein manifolds.
Cohomology with compact supports for Stein spaces.
Colmatage de surfaces holomorphes et classification des surfaces compactes
On considère le problème du colmatage en dimension 2, où l’on examine sous quelle condition une hypersurface strictement pseudoconvexe dans une surface holomorphe est le bord d’un espace de Stein. On montre que l’exemple de Rossi d’une hypersurface strictement pseudoconvexe , qui est le bord de deux domaines non relativement compacts, n’est jamais le bord d’un espace de Stein bien que les fonctions holomorphes définies dans un voisinage de donnent des cartes locales. On démontre que dans une...
Compact subsets of preserving Markov’s inequality
Complete Hartogs Domains in C2 have Regular Bergman and Szegö Projections.
Complete Intersections in Stein Manifolds.
Complete pluripolar graphs in
Let F be the Cartesian product of N closed sets in ℂ. We prove that there exists a function g which is continuous on F and holomorphic on the interior of F such that is complete pluripolar in . Using this result, we show that if D is an analytic polyhedron then there exists a bounded holomorphic function g such that is complete pluripolar in . These results are high-dimensional analogs of the previous ones due to Edlund [Complete pluripolar curves and graphs, Ann. Polon. Math. 84 (2004), 75-86]...
Complex analytic properties of certain uniform Fréchet-Schwartz algebras
Complex Kergin interpolation and the Fantappiè transform.
Complex spaces with plenty of Stein subvarieties.
Complexification of proper hamiltonian -spaces
Condition and Fefferman's mapping theorem.
Constructions de fonctions holomorphes bornées
Convexité de l'espace des cycles
Convexité holomorphe intermediaire.
Convexity properties of coverings of smooth projective varieties.
Corrigendum - An approximation theorem related to good compact sets in the sense of Martineau
Cousin-I spaces and domains of holomorphy
We prove that a Cousin-I open set D of an irreducible projective surface X is locally Stein at every boundary point which lies in . In particular, Cousin-I proper open sets of ℙ² are Stein. We also study K-envelopes of holomorphy of K-complete spaces.