Une remarque sur les complexes différentiels de fibrés holomorphes
Unfoldings of foliations with multiform first integrals
Let be a codim 1 local foliation generated by a germ of the form for some complex numbers and germs of holomorphic functions at the origin in . We determine, under some conditions, the set of equivalence classes of first order unfoldings and construct explicitly a universal unfolding of . Special cases of this include foliations with holomorphic or meromorphic first integrals. We also show that the unfolding theory for is equivalent to the unfolding theory for the multiform function...
Vector bundles of finite rank on complete intersections of finite codimension in ind-Grassmannians
In this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem.We prove that a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is isomorphic to a direct sum of line bundles.
Vector bundles on manifolds without divisors and a theorem on deformations
We study holomorphic vector bundles on non-algebraic compact manifolds, especially on tori. We exhibit phenomena which cannot occur in the algebraic case, e.g. the existence of 2-bundles that cannot be obtained as extensions of a sheaf of ideals by a line bundle. We prove some general theorems in deformations theory of bundles, which is our main tool.
Vector bundles on non-Kaehler elliptic principal bundles
We study relatively semi-stable vector bundles and their moduli on non-Kähler principal elliptic bundles over compact complex manifolds of arbitrary dimension. The main technical tools used are the twisted Fourier-Mukai transform and a spectral cover construction. For the important example of such principal bundles, the numerical invariants of a 3-dimensional non-Kähler elliptic principal bundle over a primary Kodaira surface are computed.
Vector Bundles on Projective 3-Space.
Vector bundles with trivial determinant and second Chern class one on some non-Kähler surfaces.
Vector fields, residues and cohomology
Vektorbündel vom Rang 2 über dem n-dimensionalen komplex-projektiven Raum.
Weakly Ample Kähler Manifolds and Euler Number.
Weighted pluripotential theory on compact Kähler manifolds
We introduce a weighted version of the pluripotential theory on compact Kähler manifolds developed by Guedj and Zeriahi. We give the appropriate definition of a weighted pluricomplex Green function, its basic properties and consider its behavior under holomorphic maps. We also develop a homogeneous version of the weighted theory and establish a generalization of Siciak's H-principle.
Zur Spaltung lokal-freier Garben über Riemannschen Flächen.
О глобальных корневых вектор-функциях голоморфной оператор-функции
О голоморфных семействах подпространств банахова пространства
О мероморфном сечении комплексно-аналитического векторного расслоенного пространства над комплексным проективным пространством
О некоторых пучках, связанных с голоморфными банаховыми расслоениями
О тривиальности семейств компактных комплексных пространств
Одна теорема о канонической факторизации оператор- функций
Построение версального семейства деформаций для голоморфных расслоений над компактным комплексным пространством
Разрушение циклов в слоениях на аналитические кривые