An Obstruction to the Existence of Einstein Kähler Metrics.
An open mapping theorem for analytic multifunctions
The paper gives sufficient conditions for projections of certain pseudoconcave sets to be open. More specifically, it is shown that the range of an analytic set-valued function whose values are simply connected planar continua is open, provided there does not exist a point which belongs to boundaries of all the fibers. The main tool is a theorem on existence of analytic discs in certain polynomially convex hulls, obtained earlier by the author.
An optimal estimate for extrapolation from a finite set in the Wiener class.
An Orlik-Solomon type algebra for matroids with a fixed linear class of circuits.
Analycity of CR Equivalences Between Some Real Hypersurfaces in ...n with Degenerate Levi Forms.
Analycity of Sets Associated to Lelong Numbers and the Extension of Closed Positive Currents.
Analyse micro-locale du noyau de Bergman
Analytic and Polynominal Homomorphisms of Analytic Rings.
Analytic cell decomposition of sets definable in the structure
We prove that every set definable in the structure can be decomposed into finitely many connected analytic manifolds each of which is also definable in this structure.
Analytic classes on subframe and expanded disk and the s differential operator in polydisk.
Analytic cohomology of complete intersections in a Banach space
Let be a Banach space with a countable unconditional basis (e.g., ), an open set and complex-valued holomorphic functions on , such that the Fréchet differentials are linearly independant over at each . We suppose that is a complete intersection and we consider a holomorphic Banach vector bundle . If (resp.) denote the ideal of germs of holomorphic functions on that vanish on (resp. the sheaf of germs of holomorphic sections of ), then the sheaf cohomology groups , vanish...
Analytic continuation and regular classes in locally convex Hausdorff spaces
Analytic continuation for some classes of separately analytic functions of real variables
For functions that are separately solutions of an elliptic homogeneous PDE with constant coefficients, we prove an analogue of Siciak's theorem for separately holomorphic functions.
Analytic Continuation of Currents and Division Problems.
Analytic convexity
Analytic curves in power series rings
Analytic Cycles and Vector Bundles on Non-Compact Algebraic Varieties.
Analytic deviation of ideals and intersection theory of analytic spaces.
Analytic discs method in complex analysis [Book]
Analytic disks with boundaries in a maximal real submanifold of
Let be a two dimensional totally real submanifold of class in . A continuous map of the closed unit disk into that is holomorphic on the open disk and maps its boundary into is called an analytic disk with boundary in . Given an initial immersed analytic disk with boundary in , we describe the existence and behavior of analytic disks near with boundaries in small perturbations of in terms of the homology class of the closed curve in . We also prove a regularity theorem...