Geodesic
A characterization of proper regular mappings
T. Krasiński1 ; S. Spodzieja1
1Faculty of Mathematics University of /L/od/x S. Banacha 22 90-238 /L/od/x, Poland
Annales Polonici Mathematici, Tome 76 (2001) no. 1-2, pp. 127-138
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $X$, $Y$ be complex affine varieties and $f:X\to Y$ a regular mapping. We prove that if $\mathop {\rm dim}\nolimits X\ge 2$ and $f$ is closed in the Zariski topology then $f$ is proper in the classical topology.
DOI : 10.4064/ap76-1-13
Keywords: complex affine varieties regular mapping prove mathop dim nolimits closed zariski topology proper classical topology

T. Krasiński  1   ; S. Spodzieja  1

1 Faculty of Mathematics University of /L/od/x S. Banacha 22 90-238 /L/od/x, Poland 
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T. Krasiński; S. Spodzieja. A characterization of proper regular mappings. Annales Polonici Mathematici, Tome 76 (2001) no. 1-2, pp. 127-138. doi: 10.4064/ap76-1-13

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