A geometric approach to the Jacobian Conjecture in ℂ²

• Autorzy: Ludwik M. Drużkowski
• Języki publikacji: EN

Abstrakty

EN

We consider polynomial mappings (f,g) of ℂ² with constant nontrivial jacobian. Using the Riemann-Hurwitz relation we prove among other things the following: If g - c (resp. f - c) has at most two branches at infinity for infinitely many numbers c or if f (resp. g) is proper on the level set $g^{-1}(0)$ (resp. $f^{-1}(0)$), then (f,g) is bijective.

Kategorie tematyczne

• 32H99: None of the above, but in this section
• 14H20: Singularities, local rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991
• Tom: 55
• Numer: 1
• Strony: 95-101

Daty

wydano

1991

otrzymano

1990-08-27

Twórcy

autor

Ludwik M. Drużkowski

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

Bibliografia

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