Wyniki wyszukiwania

1

The Lojasiewicz exponent at infinity for overdetermined polynomial mappings

100%

Spodzieja S.

Annales Polonici Mathematici

|

2002

|

tom 78

|

nr 1

1-10

EN

We prove that the study of the Łojasiewicz exponent at infinity of overdetermined polynomial mappings $ℂⁿ → ℂ^m$, m > n, can be reduced to the one when m = n.

2

Multiplicity and the Łojasiewicz exponent

100%

Spodzieja S.

Annales Polonici Mathematici

|

2000

|

tom 73

|

nr 3

257-267

EN

We give a formula for the multiplicity of a holomorphic mapping $f: ℂ^{n} ⊃ Ω → ℂ^{m}$, m > n, at an isolated zero, in terms of the degree of an analytic set at a point and the degree of a branched covering. We show that calculations of this multiplicity can be reduced to the case when m = n. We obtain an analogous result for the local Łojasiewicz exponent.

3

A characterization of proper regular mappings

63%

Krasiński T., Spodzieja S.

Annales Polonici Mathematici

|

2001

|

tom 76

|

nr 1-2

127-138

EN

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 Spodzieja S.

1 Krasiński T.

1 2002

1 2001

1 2000

The Lojasiewicz exponent at infinity for overdetermined polynomial mappings

Multiplicity and the Łojasiewicz exponent

A characterization of proper regular mappings