- Tytuł:
- Local characterization of algebraic manifolds and characterization of components of the set $S_f$
- Autorzy:
- Jelonek, Zbigniew
- Powiązania:
- https://bibliotekanauki.pl/articles/1207920.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
ℂ-uniruled variety
polynomial mappings
affine space - Opis:
-
We show that every n-dimensional smooth algebraic variety X can be covered by Zariski open subsets $U_i$ which are isomorphic to closed smooth hypersurfaces in $ℂ^{n+1}$.
As an application we show that forevery (pure) n-1-dimensional ℂ-uniruled variety $X ⊂ ℂ^m$ there is a generically-finite (even quasi-finite) polynomial mapping $f:ℂ^n → ℂ^m$ such that $X ⊂ S_f$.
This gives (together with [3]) a full characterization of irreducible components of the set $S_f$ for generically-finite polynomial mappings $f:ℂ^n→ℂ^m$. - Źródło:
-
Annales Polonici Mathematici; 2000, 75, 1; 7-13
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł