Some applications of the trace mapping for differentials
Some boundary-value properties of an analytic function in a bicylinder
Some boundedness results for Fano-like Moishezon manifolds.
Some characterizations of Bloch functions on strongly pseudoconvex domains
Some characterizations of harmonic Bloch and Besov spaces
The relationship between weighted Lipschitz functions and analytic Bloch spaces has attracted much attention. In this paper, we define harmonic --Bloch space and characterize it in terms of and where is a majorant. Similar results are extended to harmonic little --Bloch and Besov spaces. Our results are generalizations of the corresponding ones in G. Ren, U. Kähler (2005).
Some characterizations of hyperbolic almost complex manifolds
First, we give some characterizations of the Kobayashi hyperbolicity of almost complex manifolds. Next, we show that a compact almost complex manifold is hyperbolic if and only if it has the Δ*-extension property. Finally, we investigate extension-convergence theorems for pseudoholomorphic maps with values in pseudoconvex domains.
Some Characterizations of L-regular Points.
Some characterizations of the class and applications
We give some characterizations of the class and use them to establish a lower estimate for the log canonical threshold of plurisubharmonic functions in this class.
Some class of integral functions represented by Dirichlet series of several complex variables having finite order.
Some Classes of Line Singularities.
Some compactness theorems of families of proper holomorphic correspondences.
In this paper we prove some compactness theorems of families of proper holomorphic correspondences. In particular we extend the well known Wong-Rosay's theorem to proper holomorphic correspondences. This work generalizes some recent results proved in [17].
Some consequences of perversity of vanishing cycles
For a holomorphic function on a complex manifold, we show that the vanishing cohomology of lower degree at a point is determined by that for the points near it, using the perversity of the vanishing cycle complex. We calculate this order of vanishing explicitly in the case the hypersurface has simple normal crossings outside the point. We also give some applications to the size of Jordan blocks for monodromy.
Some convexity properties of morphisms of complex spaces.
Some Criteria for Finite and Infinite Monodromy of Plane Algebraic Curves.
Some criteria for the injectivity of holomorphic mappings
We prove some criteria for the injectivity of holomorphic mappings.
Some envelopes of holomorphy
We construct some envelopes of holomorphy that are not equivalent to domains in ℂⁿ.
Some examples and counter-examples in value distribution theory for several variables
Some examples for the Poincaré and Painlevé problems
Some Examples of Rigid Representations
*Research partially supported by INTAS grant 97-1644.Consider the Deligne-Simpson problem: give necessary and sufficient conditions for the choice of the conjugacy classes Cj ⊂ GL(n,C) (resp. cj ⊂ gl(n,C)) so that there exist irreducible (p+1)-tuples of matrices Mj ∈ Cj (resp. Aj ∈ cj) satisfying the equality M1 . . .Mp+1 = I (resp. A1+. . .+Ap+1 = 0). The matrices Mj and Aj are interpreted as monodromy operators and as matrices-residua of fuchsian systems on Riemann’s sphere. We give new examples...
Some Explicit Resolutions of Modular Cusp Singularities.