A characterization of proper regular mappings

T. Krasiński; S. Spodzieja

Annales Polonici Mathematici (2001)

  • Volume: 76, Issue: 1-2, page 127-138
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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T. Krasiński, and S. Spodzieja. "A characterization of proper regular mappings." Annales Polonici Mathematici 76.1-2 (2001): 127-138. <http://eudml.org/doc/280288>.

@article{T2001,
abstract = {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.},
author = {T. Krasiński, S. Spodzieja},
journal = {Annales Polonici Mathematici},
keywords = {affine varieties; regular morphisms; proper mappings; closed morphisms; Łojasiewicz exponent; Zariski topology},
language = {eng},
number = {1-2},
pages = {127-138},
title = {A characterization of proper regular mappings},
url = {http://eudml.org/doc/280288},
volume = {76},
year = {2001},
}

TY - JOUR
AU - T. Krasiński
AU - S. Spodzieja
TI - A characterization of proper regular mappings
JO - Annales Polonici Mathematici
PY - 2001
VL - 76
IS - 1-2
SP - 127
EP - 138
AB - 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.
LA - eng
KW - affine varieties; regular morphisms; proper mappings; closed morphisms; Łojasiewicz exponent; Zariski topology
UR - http://eudml.org/doc/280288
ER -

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