Plane Jacobian conjecture for simple polynomials

Nguyen Van Chau. "Plane Jacobian conjecture for simple polynomials." Annales Polonici Mathematici 93.3 (2008): 247-251. <http://eudml.org/doc/281047>.

@article{NguyenVanChau2008,
abstract = {A non-zero constant Jacobian polynomial map F=(P,Q):ℂ² → ℂ² has a polynomial inverse if the component P is a simple polynomial, i.e. its regular extension to a morphism p:X → ℙ¹ in a compactification X of ℂ² has the following property: the restriction of p to each irreducible component C of the compactification divisor D = X-ℂ² is of degree 0 or 1.},
author = {Nguyen Van Chau},
journal = {Annales Polonici Mathematici},
keywords = {Jacobian conjecture; non-proper value set; rational polynomial; simple polynomial},
language = {eng},
number = {3},
pages = {247-251},
title = {Plane Jacobian conjecture for simple polynomials},
url = {http://eudml.org/doc/281047},
volume = {93},
year = {2008},
}

TY - JOUR
AU - Nguyen Van Chau
TI - Plane Jacobian conjecture for simple polynomials
JO - Annales Polonici Mathematici
PY - 2008
VL - 93
IS - 3
SP - 247
EP - 251
AB - A non-zero constant Jacobian polynomial map F=(P,Q):ℂ² → ℂ² has a polynomial inverse if the component P is a simple polynomial, i.e. its regular extension to a morphism p:X → ℙ¹ in a compactification X of ℂ² has the following property: the restriction of p to each irreducible component C of the compactification divisor D = X-ℂ² is of degree 0 or 1.
LA - eng
KW - Jacobian conjecture; non-proper value set; rational polynomial; simple polynomial
UR - http://eudml.org/doc/281047
ER -