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Math Help - Algebraic Curves

  1. #1
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    Dec 2011
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    Algebraic Curves

    Hi im pretty stuck on a proof so any help would be great:

    Let P and Q be two projective curves, and let p belong to both of them. Show that the intersection number of P and Q at p is equal to one iff the tangent lines to p of P and Q are distinct

    NB-we have defined intersection numbers in terms of the resultant, and i also do not take algebra this term so all of the results in terms of ideals and such on the internet are of no use to me

    thanks

    i should also probably say that we are working in P^2
    Last edited by mr fantastic; December 5th 2011 at 02:57 AM. Reason: Merged posts.
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