Title of article
One class of planar rational involutions Original Research Article
Author/Authors
Zbigniew Le?niak، نويسنده , , Yong-Guo Shi، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
8
From page
6097
To page
6104
Abstract
Our aim is to find one class of planar rational involutions φλ:R2∖(L1∪L2)→R2∖(L1∪L2)φλ:R2∖(L1∪L2)→R2∖(L1∪L2) of the form
View the MathML sourceφλ(x,y):=(a1x+a2y+a3a4x+a5y+a6,b1y+b2x+b3b4y+b5x+b6),
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where λ=(a1,…,a6,b1,…,b6)∈R12λ=(a1,…,a6,b1,…,b6)∈R12, and L1L1 and L2L2 denote two lines, a4x+a5y+a6=0a4x+a5y+a6=0 and b4y+b5x+b6=0b4y+b5x+b6=0 respectively. We give necessary and sufficient conditions on the 12 parameters ai,bi,i=1,2,…,6ai,bi,i=1,2,…,6, such that φλφλ is an involution.
Keywords
Involution , Minimal primary decomposition , Elimination theory , Gr?bner basis , Planar rational map
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2011
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
863385
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