- Tytuł:
- On the intersection multiplicity of images under an etale morphism
- Autorzy:
- Nowak, Krzysztof
- Powiązania:
- https://bibliotekanauki.pl/articles/966012.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
intersection multiplicity
multiplicity of ideals in a semilocal ring
etale morphisms
unramified morphisms
algebraic varieties - Opis:
- We present a formula for the intersection multiplicity of the images of two subvarieties under an etale morphism between smooth varieties over a field k. It is a generalization of Fulton's Example 8.2.5 from [3], where a strong additional assumption has been imposed. In a special case where the base field k is algebraically closed and a proper component of the intersection is a closed point, intersection multiplicity is an invariant of etale morphisms. This corresponds with analytic geometry where intersection multiplicity is an invariant of local biholomorphisms.
- Źródło:
-
Colloquium Mathematicum; 1998, 75, 2; 167-174
0010-1354 - Pojawia się w:
- Colloquium Mathematicum
- Dostawca treści:
- Biblioteka Nauki
Artykuł