Courbes polaires et topologie des courbes planes
Courbes pseudo-holomorphes équisingulières en dimension 4
Courbure et singularités complexes.
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.
Covariant Cauchy-Riemann operators and higher Laplacians on Kähler manifolds.
Covariant differential operators.
Covering spaces of an elliptic surface
Covering spaces of families of compact Riemann surfaces.
Coverings defined by Weierstraß polynomials.
Coverings of 1-convex manifolds with 1-dimensional exceptional set.
Coxeter elements for vanishing cycles of types and
We introduce two entire functions and in two variables. Both of them have only two critical values and , and the associated maps define topologically locally trivial fibrations over . All critical points in the singular fibers over and are ordinary double points, and the associated vanishing cycles span the middle homology group of the general fiber, whose intersection diagram forms bi-partitely decomposed infinite quivers of type and , respectively. Coxeter elements of type and...
Coxeter-Dynkin diagrams of fat points in C² and of their stabilizations.
Coxeter-Dynkin diagrams of the complete intersection singularities Z9 and Z10.
CR geometry and Cartan geometry.
CR mappings and their holomorphic extension
CR mappings between real hypersurfaces in complex space
CR singular immersions of complex projective spaces.
CR structures and Fefferman's conformal structures.
CR structures with group action and extendability of CR function.
CR submanifolds of maximal CR dimension in complex manifolds
The aim of this paper is to investigate n-dimensional real submanifolds of complex manifolds in the case when the maximal holomorphic tangent space is (n-1)-dimensional. In particular, we give some examples and we consider the Levi form on these submanifolds, especially when the ambient space is a complex space form. Moreover, we show that on some remarkable class of real hypersurfaces of complex space forms, the Levi form cannot vanish identically.