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On the intersection product of analytic cycles

100%

Rams S.

Annales Polonici Mathematici

2000

tom 73

nr 2

135-146

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).

Convergence of holomorphic chains

100%

Rams S.

Annales Polonici Mathematici

1996-1997

tom 65

nr 3

227-234

We endow the module of analytic p-chains with the structure of a second-countable metrizable topological space.

A note on Bézout's theorem

51%

Rams S., Tworzewski P., Winiarski T.

Annales Polonici Mathematici

2005

tom 87

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.

Ograniczanie wyników

3 Annales Polonici Mathematici

3 Rams S.

1 Tworzewski P.

1 Winiarski T.

1 2005

1 2000

1 1997

Wyniki wyszukiwania

On the intersection product of analytic cycles

Convergence of holomorphic chains

A note on Bézout's theorem