Displaying similar documents to “On some rigidity properties of mappings between CR-submanifolds in complex space”

On the intersection product of analytic cycles

Sławomir Rams (2000)

Annales Polonici Mathematici

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We prove that the generalized index of intersection of an analytic set with a closed submanifold (Thm. 4.3) and the intersection product of analytic cycles (Thm. 5.4), which are defined in [T₂], are intrinsic. We define the intersection product of analytic cycles on a reduced analytic space (Def. 5.8) and prove a relation of its degree and the exponent of proper separation (Thm. 6.3).

Weil's formulae and multiplicity

Maria Frontczak, Andrzej Miodek (1991)

Annales Polonici Mathematici

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The integral representation for the multiplicity of an isolated zero of a holomorphic mapping f : ( ℂ n , 0 ) → ( ℂ n , 0 ) by means of Weil’s formulae is obtained.

Intersection theory in complex analytic geometry

Piotr Tworzewski (1995)

Annales Polonici Mathematici

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We present a construction of an intersection product of arbitrary complex analytic cycles based on a pointwise defined intersection multiplicity.

Injective endomorphisms of algebraic and analytic sets

Sławomir Cynk, Kamil Rusek (1991)

Annales Polonici Mathematici

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We prove that every injective endomorphism of an affine algebraic variety over an algebraically closed field of characteristic zero is an automorphism. We also construct an analytic curve in ℂ⁶ and its holomorphic bijection which is not a biholomorphism.

On the Łojasiewicz exponent for analytic curves

Jacek Chądzyński, Tadeusz Krasiński (1998)

Banach Center Publications

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An effective formula for the Łojasiewicz exponent for analytic curves in a neighbourhood of 0 ∈ ℂ is given.

Schwarz Reflection Principle, Boundary Regularity and Compactness for J -Complex Curves

Sergey Ivashkovich, Alexandre Sukhov (2010)

Annales de l’institut Fourier

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We establish the Schwarz Reflection Principle for J -complex discs attached to a real analytic J -totally real submanifold of an almost complex manifold with real analytic J . We also prove the precise boundary regularity and derive the precise convergence in Gromov compactness theorem in 𝒞 k , α -classes.

Singular sets of separately analytic functions

Zbigniew Błocki (1992)

Annales Polonici Mathematici

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We complete the characterization of singular sets of separately analytic functions. In the case of functions of two variables this was earlier done by J. Saint Raymond and J. Siciak.