Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: extension of mappings

Sortuj według:

Ogranicz wyniki do:

A note on geometric degree of finite extensions of mappings from a smooth variety

Karaś M.

Bulletin of the Polish Academy of Sciences. Mathematics

2008

Vol. 56, no 2

105-108

Let ƒ : V → W be a finite polynomial mapping of algebraic subsets V, W of k[sup]n and k[sup]m, respectively, with n ≤ m. Kwieciński [J. Pure Appl. Algebra 76 (1991)] proved that there exists a finite polynomial mapping F : k[sup]n → k[sup]m such that F| v = ƒ. In this note we prove that, if V, W ⊂ k[sup] are smooth of dimension k with 3k + 2 ≤ n, and ƒ : V → W is finite, dominated and dominated on every component, then there exists a finite polynomial mapping F : k[sup]n → [sup]n such that F|v = ƒ and gdeg F ≤ (gdegƒ)[sup]k+1. This improves earlier results of the author.