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3 Bulletin of the Polish Academy of Sciences. Mathematics

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Note about the set S[f] for a polynomial mapping f : [C^2 --> C^2]

Jelonek Z.

Bulletin of the Polish Academy of Sciences. Mathematics

2001

Vol. 49, no 1

67-72

The aim of this paper is to give a simple method of computing the set S[f] of points at which a generically-finite polynomial mapping f : [C^2 --> C^2] is not proper.

A geometry of polynomial transformations of the real plane

Jelonek Z.

Bulletin of the Polish Academy of Sciences. Mathematics

2000

Vol. 48, no 1

57-62

In this paper we study the set of points at which a real polynomial mapping of the plane is not proper.

A geometry of Pinchuk's map

Goździewicz G.

Bulletin of the Polish Academy of Sciences. Mathematics

2000

Vol. 48, no 1

69-75

Sergey Pinchuk found a polynomial map from the real plane to itself which is a local diffeomorphism but is not one-to-one. The aim of this paper is to give a geometric description of Pinchuk's map.