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Math Help - Finding an ideal to satisfy an algebraic variety

  1. #1
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    Finding an ideal to satisfy an algebraic variety

    I am trying to find an ideal I <| K[x,y] such that the algebraic variety V(I) consists of:
    .the point (1,1)
    .the line x=0
    .the line y= x+1

    in A^2.

    I do not understand how to do this.

    Any help would be greatly appreciated.

    Thanks in advance.
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  2. #2
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    Quote Originally Posted by Siknature View Post
    I am trying to find an ideal I <| K[x,y] such that the algebraic variety V(I) consists of:
    .the point (1,1)
    .the line x=0
    .the line y= x+1

    in A^2.

    I do not understand how to do this.

    Any help would be greatly appreciated.

    Thanks in advance.


    Try I=<(x-1)(y-1),x,x-y+1> .

    Tonio
    Last edited by Opalg; March 2nd 2010 at 01:18 PM. Reason: LaTeX patch
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  3. #3
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    Quote Originally Posted by tonio View Post
    Try math]I=<(x-1)(y-1),x,x-y+1>[/tex] .

    Tonio
    Thankyou very much.

    Should there be a comma between the (x-1) and (y-1) or is what you have written correct?
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