The set of points at which a polynomial map is not proper

• Autorzy: Zbigniew Jelonek
• Języki publikacji: EN

Abstrakty

EN

We describe the set of points over which a dominant polynomial map $f=(f_1,...,f_n) : ℂ^n → ℂ^n$ is not a local analytic covering. We show that this set is either empty or it is a uniruled hypersurface of degree bounded by $(∏_{i=1}^n deg f_i - μ (f)) / (min_{i=1,...,n} deg f_i)$.

Słowa kluczowe

EN

polynomial mappings; proper mappings; dominant mappings; analytic covering

Kategorie tematyczne

• 14E05: Rational and birational maps
• 14E22: Ramification problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1993
• Tom: 58
• Numer: 3
• Strony: 259-266

Daty

wydano

1993

otrzymano

1992-06-11

poprawiono

1993-04-05

poprawiono

1993-08-02

Twórcy

autor

Zbigniew Jelonek

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

Bibliografia

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• [2] Z. Jelonek, Irreducible identity sets for polynomial automorphisms, Math. Z. 212 (1993), 601-617.
• [3] Z. Jelonek, The set of points at which a polynomial map is not proper, preprint CRM no. 141, Bellaterra, March 1992.
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