Holomorphic generators of some ideals in
Holomorphic group actions with few compact orbits
Holomorphic group actions with many compact orbits.
Holomorphic immersions between compact hyperbolic space forms.
Holomorphic isometries of Cartan domains of type one
Holomorphic isometries for the Kobayashi metric of a class of Cartan domains are characterized.
Holomorphic Lagrangian bundles over flag manifolds.
Holomorphic line bundles and divisors on a domain of a Stein manifold
Let be an open set of a Stein manifold of dimension such that for . We prove that is Stein if and only if every topologically trivial holomorphic line bundle on is associated to some Cartier divisor on .
Holomorphic line bundles on a domain of a two-dimensional Stein manifold
Let D be an open subset of a two-dimensional Stein manifold S. Then D is Stein if and only if every holomorphic line bundle L on D is the line bundle associated to some (not necessarily effective) Cartier divisor 𝔡 on D.
Holomorphic Lipschitz functions and application to the -problem
Holomorphic Lipschitz functions in balls.
Holomorphic mapping of annuli in and the associated extremal function
Holomorphic mappings between algebraic hypersurfaces in complex space
Holomorphic mappings between spaces of different dimensions. I.
Holomorphic Mappings from the Ball and Polydisc.
Holomorphic Mappings in the Nevanlinna Class.
Holomorphic maps form the unit ball of CN that take hyperplanes into hyperplanes.
Holomorphic Maps of Compact Riemann Surfaces Into 2-Dimensional Compact C-Hyperbolic Manifolds.
Holomorphic Maps of Generalized Iwasawa Manifolds.
Holomorphic Morse Inequalities on Manifolds with Boundary
Let be a compact complex manifold with boundary and let be a high power of a hermitian holomorphic line bundle over When has no boundary, Demailly’s holomorphic Morse inequalities give asymptotic bounds on the dimensions of the Dolbeault cohomology groups with values in in terms of the curvature of We extend Demailly’s inequalities to the case when has a boundary by adding a boundary term expressed as a certain average of the curvature of the line bundle and the Levi curvature of the...
Holomorphic non-holonomic differential systems on complex manifolds
We study coherent subsheaves 𝓓 of the holomorphic tangent sheaf of a complex manifold. A description of the corresponding 𝓓-stable ideals and their closed complex subspaces is sketched. Our study of non-holonomicity is based on the Noetherian property of coherent analytic sheaves. This is inspired by the paper [3] which is related with some problems of mechanics.