On the branches of a complex space.
On the Briançon-Skoda theorem on a singular variety
Let be a germ of a reduced analytic space of pure dimension. We provide an analytic proof of the uniform Briançon-Skoda theorem for the local ring ; a result which was previously proved by Huneke by algebraic methods. For ideals with few generators we also get much sharper results.
On the Burns-Epstein invariants of spherical CR 3-manifolds
In this paper we develop a method to compute the Burns-Epstein invariant of a spherical CR homology sphere, up to an integer, from its holonomy representation. As an application, we give a formula for the Burns-Epstein invariant, modulo an integer, of a spherical CR structure on a Seifert fibered homology sphere in terms of its holonomy representation.
On the Calabi-Yau equation in the Kodaira-Thurston manifold
We review some previous results about the Calabi-Yau equation on the Kodaira-Thurston manifold equipped with an invariant almost-Kähler structure and assuming the volume form T2-invariant. In particular, we observe that under some restrictions the problem is reduced to aMonge-Ampère equation by using the ansatz ˜~ω = Ω− dJdu + da, where u is a T2-invariant function and a is a 1-form depending on u. Furthermore, we extend our analysis to non-invariant almost-complex structures by considering some...
On the Cauchy problem in a class of entire functions in several variables
We study the integral representation of solutions to the Cauchy problem for a differential equation with constant coefficients. The Cauchy data and the right-hand of the equation are given by entire functions on a complex hyperplane of . The Borel transformation of power series and residue theory are used as the main methods of investigation.
On the Chern Numbers of Surfaces of General Type.
On the class of entire Dirichlet functions of several complex variables having finite order point
On the class of integral functions represented by Dirichlet series of several complex variables having finite growth
On the classification of complex analytic supermanifolds.
On the classification of Hilbert Modular threefolds.
On the coefficient multipliers of Bloch and Hardy spaces in a polydisk.
On the cohomology of a general fiber of a polynomial map
On the cohomology of sheaves SεL
On the cohomology of twistor flag spaces
On the Cohomology Ring of a Simple Hyperkähler Manifold (On the Results of Verbitsky).
On the Compactification of Strongly Pseudoconvex Surfaces III.
On the compactification problem for Stein surfaces
On the compactness of the -Neumann operator
On the complex and convex geometry of Ol'shanskii semigroups
To a pair of a Lie group and an open elliptic convex cone in its Lie algebra one associates a complex semigroup which permits an action of by biholomorphic mappings. In the case where is a vector space is a complex reductive group. In this paper we show that such semigroups are always Stein manifolds, that a biinvariant domain is Stein is and only if it is of the form , with convex, that each holomorphic function on extends to the smallest biinvariant Stein domain containing ,...
On the complex geometry of invariant domains in complexified symmetric spaces
Let be a real symmetric space and the corresponding decomposition of the Lie algebra. To each open -invariant domain consisting of real ad-diagonalizable elements, we associate a complex manifold which is a curved analog of a tube domain with base , and we have a natural action of by holomorphic mappings. We show that is a Stein manifold if and only if is convex, that the envelope of holomorphy is schlicht and that -invariant plurisubharmonic functions correspond to convex -invariant...