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Currently displaying 1 – 3 of 3

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Intersection theory and separation exponent in complex analytic geometry

Ewa Cygan — 1998

Annales Polonici Mathematici

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.

Nullstellensatz and cycles of zeroes of holomorphic mappings

Ewa Cygan — 2002

Annales Polonici Mathematici

The local Nullstellensatz exponent for holomorphic mappings via intersection theory for the cases of isolated and quasi-complete intersection is considered.

Proper intersection multiplicity and regular separation of analytic sets

Ewa Cygan; Piotr Tworzewski — 1994

Annales Polonici Mathematici

We consider complex analytic sets with proper intersection. We find their regular separation exponent using basic notions of intersection multiplicity theory.

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