Hi im pretty stuck on a proof so any help would be great:(adsbygoogle = window.adsbygoogle || []).push({});

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

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# Algebraic Curves

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