Pencils of irreducible rational curves and plane Jacobian conjecture

Nguyen Van Chau

Annales Polonici Mathematici (2011)

  • Volume: 101, Issue: 1, page 47-53
  • ISSN: 0066-2216

Abstract

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In certain cases the invertibility of a polynomial map F = (P,Q): ℂ²→ ℂ² can be characterized by the irreducibility and the rationality of the curves aP+bQ = 0, (a:b) ∈ ℙ¹.

How to cite

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Nguyen Van Chau. "Pencils of irreducible rational curves and plane Jacobian conjecture." Annales Polonici Mathematici 101.1 (2011): 47-53. <http://eudml.org/doc/281107>.

@article{NguyenVanChau2011,
abstract = {In certain cases the invertibility of a polynomial map F = (P,Q): ℂ²→ ℂ² can be characterized by the irreducibility and the rationality of the curves aP+bQ = 0, (a:b) ∈ ℙ¹.},
author = {Nguyen Van Chau},
journal = {Annales Polonici Mathematici},
keywords = {Jacobian conjecture; pencils of plane curves; rational curves},
language = {eng},
number = {1},
pages = {47-53},
title = {Pencils of irreducible rational curves and plane Jacobian conjecture},
url = {http://eudml.org/doc/281107},
volume = {101},
year = {2011},
}

TY - JOUR
AU - Nguyen Van Chau
TI - Pencils of irreducible rational curves and plane Jacobian conjecture
JO - Annales Polonici Mathematici
PY - 2011
VL - 101
IS - 1
SP - 47
EP - 53
AB - In certain cases the invertibility of a polynomial map F = (P,Q): ℂ²→ ℂ² can be characterized by the irreducibility and the rationality of the curves aP+bQ = 0, (a:b) ∈ ℙ¹.
LA - eng
KW - Jacobian conjecture; pencils of plane curves; rational curves
UR - http://eudml.org/doc/281107
ER -

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