Note on the Jacobian condition and the non-proper value set

Nguyen Van Chau

Annales Polonici Mathematici (2004)

  • Volume: 84, Issue: 3, page 203-210
  • ISSN: 0066-2216

Abstract

top
We show that the non-proper value set of a polynomial map (P,Q): ℂ² → ℂ² satisfying the Jacobian condition detD(P,Q) ≡ const ≠ 0, if non-empty, must be a plane curve with one point at infinity.

How to cite

top

Nguyen Van Chau. "Note on the Jacobian condition and the non-proper value set." Annales Polonici Mathematici 84.3 (2004): 203-210. <http://eudml.org/doc/281080>.

@article{NguyenVanChau2004,
abstract = {We show that the non-proper value set of a polynomial map (P,Q): ℂ² → ℂ² satisfying the Jacobian condition detD(P,Q) ≡ const ≠ 0, if non-empty, must be a plane curve with one point at infinity.},
author = {Nguyen Van Chau},
journal = {Annales Polonici Mathematici},
language = {eng},
number = {3},
pages = {203-210},
title = {Note on the Jacobian condition and the non-proper value set},
url = {http://eudml.org/doc/281080},
volume = {84},
year = {2004},
}

TY - JOUR
AU - Nguyen Van Chau
TI - Note on the Jacobian condition and the non-proper value set
JO - Annales Polonici Mathematici
PY - 2004
VL - 84
IS - 3
SP - 203
EP - 210
AB - We show that the non-proper value set of a polynomial map (P,Q): ℂ² → ℂ² satisfying the Jacobian condition detD(P,Q) ≡ const ≠ 0, if non-empty, must be a plane curve with one point at infinity.
LA - eng
UR - http://eudml.org/doc/281080
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.