Holomorphic flows and complex structures on products of odd dimensional spheres.
Holomorphic framings for projections in a Banach algebra.
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 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.
Holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces
In this paper, we consider the problem of determining which topological complex rank-2 vector bundles on non-Kähler elliptic surfaces admit holomorphic structures; in particular, we give necessary and sufficient conditions for the existence of holomorphic rank-2 vector bundles on non-{Kä}hler elliptic surfaces.
Holomorphic sections of line bundles over (H,C)-Groups.
Holomorphic structures in vector bundles over complex surfaces.
Holomorphic vector bundles on
Holomorphic Vector Fields and Kaehler Manifolds.
Holomorphic Vector Fields on Complex Surfaces.
Holomorphic Vector Fields with Simple Isolated Zeros.
Holomorphic Vector-Fields on Compact Kaehler Manifolds.
Hyperfunktionen und Sätze vom Typ Edge of the Wedge.
Hyperkähler manifolds
Hypersurfaces intégrales des feuilletages holomorphes
Soit un germe en de 1-forme différentielle holomorphe, satisfaisant la condition d’intégrabilité et non dicritique, i.e. sur toute surface non intégrale de , on ne peut tracer, au voisinage de 0, qu’un nombre fini de germes de courbes analytiques , intégrales de , avec . Alors possède un germe d’hypersurface analytique intégrale.
Improvement of Grauert-Riemenschneider's theorem for a normal surface
Let be a desingularization of a normal surface . The group Pic is provided with an order relation , defined by . for any effective exceptional divisor . Comparing to the usual order relation we define the ceiling of which is an exceptional divisor. This notion allows us to improve the usual vanishing theorem and we deduce from it a numerical criterion for rationality and a genus formula for a curve on a normal surface; the difficulty lies in the case of a Weil divisor which is not a Cartier...
Independent Rigid Secondary Classes for Holomorphic Foliations.