Displaying similar documents to “Regular analytic arcs and curves”

A note on Bézout's theorem

Sławomir Rams, Piotr Tworzewski, Tadeusz Winiarski (2005)

Annales Polonici Mathematici

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We present a version of Bézout's theorem basing on the intersection theory in complex analytic geometry. Some applications for products of surfaces and curves are also given.

The Łojasiewicz exponent of subanalytic sets

Stanisław Spodzieja (2005)

Annales Polonici Mathematici

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We prove that the infimum of the regular separation exponents of two subanalytic sets at a point is a rational number, and it is also a regular separation exponent of these sets. Moreover, we consider the problem of attainment of this exponent on analytic curves.

Intersection theory and separation exponent in complex analytic geometry

Ewa Cygan (1998)

Annales Polonici Mathematici

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We consider the intersection multiplicity of analytic sets in the general situation. We prove that it is a regular separation exponent for complex analytic sets and so it estimates the Łojasiewicz exponent. We also give some geometric properties of proper projections of analytic sets.

On arc-analytic functions definable by a Weierstrass system

Krzysztof Jan Nowak (2011)

Annales Polonici Mathematici

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This paper presents certain characterizations through blowing up of arc-analytic functions definable by a convergent Weierstrass system closed under complexification.

Morphisms of Klein surfaces.

F. J. Cirre (1997)

Revista Matemática de la Universidad Complutense de Madrid

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We give an elementary proof of a theorem of Andreian Cazacu on the behavior of morphisms of Klein surfaces under composition.