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This problem depends on I.2.6 so has H = 2, V = 4; (I.2.6> I.1.10> I.1.6).

Commutative Algebra

  • Say (R,m) is Noeth, local then \dim R \le \# of gen. for m


  • part a) is the statement that V(f_1, ... , f_n) = V(f_1)\cap ... \cap V(f_n)
  • for part b) localize at I(Y) and use the commutative algebra result.
  • for part c follow the hint.

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