Affine rulings of weighted projective planes

Daniel Daigle

Annales Polonici Mathematici (2001)

  • Volume: 76, Issue: 1-2, page 47-66
  • ISSN: 0066-2216

Abstract

top
It is explained that the following two problems are equivalent: (i) describing all affine rulings of any given weighted projective plane; (ii) describing all weighted-homogeneous locally nilpotent derivations of k[X,Y,Z]. Then the solution of (i) is sketched. (Outline of our joint work with Peter Russell.)

How to cite

top

Daniel Daigle. "Affine rulings of weighted projective planes." Annales Polonici Mathematici 76.1-2 (2001): 47-66. <http://eudml.org/doc/280324>.

@article{DanielDaigle2001,
abstract = { It is explained that the following two problems are equivalent: (i) describing all affine rulings of any given weighted projective plane; (ii) describing all weighted-homogeneous locally nilpotent derivations of k[X,Y,Z]. Then the solution of (i) is sketched. (Outline of our joint work with Peter Russell.) },
author = {Daniel Daigle},
journal = {Annales Polonici Mathematici},
keywords = {algebraic surfaces; affine-ruled surfaces; weighted projective planes; locally nilpotent derivations; additive group actions on affine 3-space},
language = {eng},
number = {1-2},
pages = {47-66},
title = {Affine rulings of weighted projective planes},
url = {http://eudml.org/doc/280324},
volume = {76},
year = {2001},
}

TY - JOUR
AU - Daniel Daigle
TI - Affine rulings of weighted projective planes
JO - Annales Polonici Mathematici
PY - 2001
VL - 76
IS - 1-2
SP - 47
EP - 66
AB - It is explained that the following two problems are equivalent: (i) describing all affine rulings of any given weighted projective plane; (ii) describing all weighted-homogeneous locally nilpotent derivations of k[X,Y,Z]. Then the solution of (i) is sketched. (Outline of our joint work with Peter Russell.)
LA - eng
KW - algebraic surfaces; affine-ruled surfaces; weighted projective planes; locally nilpotent derivations; additive group actions on affine 3-space
UR - http://eudml.org/doc/280324
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.