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On branches at infinity of a pencil of polynomials in two complex variables

100%

Krasiński T.

Annales Polonici Mathematici

1991

tom 55

nr 1

213-220

Let F ∈ ℂ[x,y]. Some theorems on the dependence of branches at infinity of the pencil of polynomials f(x,y) - λ, λ ∈ ℂ, on the parameter λ are given.

Resultant and the Łojasiewicz exponent

63%

Chądzyński J., Krasiński T.

Annales Polonici Mathematici

1995

tom 61

nr 1

95-100

An effective formula for the Łojasiewicz exponent of a polynomial mapping of ℂ² into ℂ² at an isolated zero in terms of the resultant of its components is given.

A characterization of proper regular mappings

63%

Krasiński T., Spodzieja S.

Annales Polonici Mathematici

2001

tom 76

nr 1-2

127-138

Let X, Y be complex affine varieties and f:X → Y a regular mapping. We prove that if dim X ≥ 2 and f is closed in the Zariski topology then f is proper in the classical topology.

Ograniczanie wyników

3 Annales Polonici Mathematici

3 Krasiński T.

1 Chądzyński J.

1 Spodzieja S.

1 2001

1 1995

1 1991

Wyniki wyszukiwania

On branches at infinity of a pencil of polynomials in two complex variables

Resultant and the Łojasiewicz exponent

A characterization of proper regular mappings