Note about the set S[f] for a polynomial mapping f : [C^2 --> C^2]

• Autorzy: Jelonek, Z.
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to give a simple method of computing the set S[f] of points at which a generically-finite polynomial mapping f : [C^2 --> C^2] is not proper.

Słowa kluczowe

PL

odwzorowanie wielomianu rzeczywistego; przestrzeń afiniczna

EN

affine plane; polynomial mappings; proper mappings; real polynomial mappings

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2001
• Tom: Vol. 49, no 1
• Strony: 67--72
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Jelonek, Z.

• Institute of Mathematics, Jagiellonian University, Reymonta 4, Pl-30-059 Kraków,

Bibliografia

• [1] J. Chądzyński, T. Krasiński, On the Łojasiewiez exponent at infinity for polynomial mappings of C2 into C2 and components of polynomial automorphisms of C2, Ann. Polon. Math., 57 (1992) 291-302.
• [2] Z. Jelonek, The set of points at which a polynomial map is not proper, Ann. Polon. Math., 58 (1993) 259-266.
• [3] Z. Jelonek, Testing sets for properness of polynomial mappings, Math. Ann., 315 (1999) 1-35.
• [4] Z. Jelonek, A geometry of polynomial transformations of the real plane, Bull. Pol. Ac.: Math., 48 (2000) 57-62.
• [5] A. Płoski, A note on the Łojasiewicz exponent at infinity, Bull. Soc. Sci. Lett. Łódź Sér. Rech. Deform., 17 (1994) 11-15.