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5 Annales Polonici Mathematici

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Intersection theory in complex analytic geometry

100%

Tworzewski P.

1995

tom 62

nr 2

177-191

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

Isolated intersection multiplicity and regular separation of analytic sets

100%

Tworzewski P.

nr 2

213-219

An isolated point of intersection of two analytic sets is considered. We give a sharp estimate of their regular separation exponent in terms of intersection multiplicity and local degrees.

Diagonal series of rational functions

63%

Cynk S. , Tworzewski P.

nr 1

57-63

Some representations of Nash functions on continua in ℂ as integrals of rational functions of two complex variables are presented. As a simple consequence we get close relations between Nash functions and diagonal series of rational functions.

A note on Bézout's theorem

51%

Rams S. , Tworzewski P. , Winiarski T.

nr 1

219-227

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.

A note on holomorphic mappings with two fixed points

44%

Jarnicki M. , Tworzewski P.

nr 1

179-182