# A characterization of proper regular mappings

@article{Krasinski2001ACO,
title={A characterization of proper regular mappings},
journal={Annales Polonici Mathematici},
year={2001},
volume={76},
pages={127-138}
}
• Published 2001
• Mathematics
• Annales Polonici Mathematici
Let X, Y be complex ane varieties and f : X! Y a regular mapping. We prove that if dimX 2 and f is closed in the Zariski topology then f is proper in the classical topology.

## References

SHOWING 1-9 OF 9 REFERENCES

### The set of points at which a polynomial map is not proper

We describe the set of points over which a dominant polynomial map f = (f1, . . . , fn) : C → C is not a local analytic covering. We show that this set is either empty or it is a uniruled

### A set on which the Łojasiewicz exponent at infinity is attained

• Mathematics
• 1997
We show that for a polynomial mapping F = (f_1,...,f_m): C^n \to C^m the Lojasiewicz exponent at infinity of F is attained on the set {z \in C^n : f_1(z)...f_m(z) = 0}

### Algebraic Geometry I: Complex Projective Varieties

Let me begin with a little history. In the 20th century, algebraic geometry has gone through at least 3 distinct phases. In the period 1900-1930, largely under the leadership of the 3 Italians,

### Algebraische Geometrie : eine Einführung

Diese Einfuhrung in die algebraische Geometrie richtet sich an Studierende mittlere und hohere Semester. Vorausgesetzt werden lediglich die im ersten Studienjahr erworbenen Grundkenntnisse. Ausgehend

### Expansion Techniques in Algebraic Geometry

• Tata Institute of Fundamental Research, Bombay
• 1977

• 1988