Finite extensions of mappings of finite sets

• Autorzy: Karaś M.
• Języki publikacji: EN

Abstrakty

EN

In this note we prove that for every finite sets V, W [is a subset of] [C^k] with k, #V, #W > 1 and for every surjective mapping f : V --> W there exists a finite mapping F : [C^k] --> [C^k] such that F\v = f, gdegF = gdegf and degF [is less than or equal to (#V - 1)^2].

Słowa kluczowe

EN

algebraic degree; finite extensions; finite mapping; geometrig degree

PL

odwzorowanie skończone; rozszerzenie skończone

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2002
• Tom: Vol. 50, no 2
• Strony: 237--239
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Karaś M.

• Institute of Mathematics, Polish Academy of Sciences, Św. Tomasza 30, 31-027, Kraków, Poland
• Jagiellonian University, Institute of Mathematics, Reymonta 4, 30-059 Kraków, Poland

Bibliografia

• [1] M. Karaś, Finite extensions of mappings from a smooth variety, Ann. Polon. Math., 75 (2000) 79-86.
• [2] M. Karaś, Finite extensions of mappings (in Polish), Ph. D. Thesis, Jagiellonian University, Kraków 1999.
• [3] T. Rodak, Extensions of bijections of finite sets to an automorphisms of Cn, Proc. of XXII Conf. of Complex Algebraic and Analytic Geometry, Łódź (2001) 21-22.