A geometry of polynomial transformations of the real plane

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

Abstrakty

EN

In this paper we study the set of points at which a real polynomial mapping of the plane is not proper.

Słowa kluczowe

PL

geometria algebraiczna; odwzorowanie wielomianu rzeczywistego

EN

Jacobian Conjecture; real polynomial mappings; set of points at which a polynomial mappings is not proper

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2000
• Tom: Vol. 48, no 1
• Strony: 57--62
• Opis fizyczny: Bibliogr. 5 poz.,

Twórcy

autor

Jelonek, Z.

• Institute of Mathematics, Polish Academy of Sciences, Sw. Tomasza 30, 31.027 Krakow, Poland,
• Institute of Mathematics, Jagiellonian University, Reymonta 4, Pl-30-059 Kraków

Bibliografia

• [1] R.Benedetti, J.-J. Risler, Real algebraic and semi-algebraic sets, Hermann, Paris 1990.
• [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, Geometry of real polynomial mappings, to be published.
• [5] R. Peretz, The variety of the asymptotic values of a real polynomial etole map, J. Pure Appl. Algebra, 106 (1) (1996) 103-112.