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Algebraic Curves (need help on understanding this proof)

  1. Oct 30, 2011 #1
    15hetee.png

    I dont get why G=0 is a contradiction. Does it imply F=0, which cannot be true since the question stated F is non constant?

    Can anyone give me another proof for this first part please? As the step he made to get G would have been something I would never have thought of.

    By the way problem 1.4 showed that if F(P) = 0 for all P then F = 0 when k is an infinite field.
     
    Last edited: Oct 30, 2011
  2. jcsd
  3. Oct 30, 2011 #2

    Mark44

    Staff: Mentor

    Your scanned image is too big, at 1503 x 772 pixels. Please shrink it to no larger than about 1000 x 600 or so, so that we can read the problem without having to scroll off to the right.
    Thanks
     
  4. Oct 30, 2011 #3
    Is that better?
     
  5. Oct 30, 2011 #4

    Mark44

    Staff: Mentor

    Better, yes, but could you shrink it a bit more? 800 x 400 would be about right.
    Thanks!
     
  6. Oct 30, 2011 #5
    800x400 now!
     
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