Results 1 to 1 of 1

Thread: Algebraic Curves

  1. #1
    Dec 2011

    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


    i should also probably say that we are working in P^2
    Last edited by mr fantastic; Dec 5th 2011 at 02:57 AM. Reason: Merged posts.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Curves in R^3
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: Feb 9th 2011, 10:44 AM
  2. curves
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Jan 24th 2010, 08:05 AM
  3. Advanced Algebraic Curves problem
    Posted in the Advanced Math Topics Forum
    Replies: 0
    Last Post: Dec 5th 2009, 08:10 AM
  4. Curves
    Posted in the Calculus Forum
    Replies: 5
    Last Post: Feb 10th 2009, 01:13 PM
  5. sketching curves-transformation curves f(x)!!!!
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: Dec 2nd 2006, 06:55 AM

Search Tags

/mathhelpforum @mathhelpforum