# A geometric approach to the Jacobian Conjecture in ℂ²

Annales Polonici Mathematici (1991)

- Volume: 55, Issue: 1, page 95-101
- ISSN: 0066-2216

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topLudwik M. Drużkowski. "A geometric approach to the Jacobian Conjecture in ℂ²." Annales Polonici Mathematici 55.1 (1991): 95-101. <http://eudml.org/doc/262260>.

@article{LudwikM1991,

abstract = {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.},

author = {Ludwik M. Drużkowski},

journal = {Annales Polonici Mathematici},

keywords = {Jacobian conjecture; Riemann-Hurwitz-relation},

language = {eng},

number = {1},

pages = {95-101},

title = {A geometric approach to the Jacobian Conjecture in ℂ²},

url = {http://eudml.org/doc/262260},

volume = {55},

year = {1991},

}

TY - JOUR

AU - Ludwik M. Drużkowski

TI - A geometric approach to the Jacobian Conjecture in ℂ²

JO - Annales Polonici Mathematici

PY - 1991

VL - 55

IS - 1

SP - 95

EP - 101

AB - 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.

LA - eng

KW - Jacobian conjecture; Riemann-Hurwitz-relation

UR - http://eudml.org/doc/262260

ER -

## References

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