An Infinitesimal Version of Cartan's Uniqueness Theorem.
An integral formula on submanifolds of domains of Cn..
A Bochner-Martinelli-Koppelman type integral formula on submanifolds of pseudoconvex domains in Cn is derived; the result gives, in particular, integral formulas on Stein manifolds.
An integral represantation formula for holomorphic functions on analytic varieties
An interpolation theorem in toric varieties
In the spirit of a theorem of Wood, we give necessary and sufficient conditions for a family of germs of analytic hypersurfaces in a smooth projective toric variety to be interpolated by an algebraic hypersurface with a fixed class in the Picard group of .
An intrinsic characterization of Kähler manifolds.
An inverse mapping theorem for arc-analytic homeomorphisms
We show that a subanalytic map-germ (Rⁿ,0) → (Rⁿ,0) which is arc-analytic and bi-Lipschitz has an arc-analytic inverse.
An ℓ-th root of a test configuration of exponent ℓ
Let (X, L) be a polarized algebraic manifold. Then for every test configuration μ = (X, L,Ψ) for (X, L) of exponent ℓ, we obtain an ℓ-th root (κ, D) of μ and Gm-equivariant desingularizations ι : X → X and η : X → Y, both isomorphic onX X̂ 0, such that [...] whereκ= (Y, Q, η) is a test configuration for (X, L) of exponent 1, and D is an effective Q-divisor onX such that ℓD is an integral divisor with support in the fiber X0. Then (κ, D) can be chosen in such a way that [...] where C1 and C2 are...
An obstruction for smoothing of Gorenstein surface singularities.
An obstruction to homogeneous manifolds being Kähler
Let be a connected complex Lie group, a closed, complex subgroup of and . Let be the radical and a maximal semisimple subgroup of . Attempts to construct examples of noncompact manifolds homogeneous under a nontrivial semidirect product with a not necessarily -invariant Kähler metric motivated this paper. The -orbit in is Kähler. Thus is an algebraic subgroup of [4]. The Kähler assumption on ought to imply the -action on the base of any homogeneous fibration is algebraic...
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...