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This problem has Hartshorne Height 2 and volume 2. II.2.1 can be used to solve this.

HAPPY

For x \in U \subset X know there is an affine containing x.

  • Use that distinguished affines form a base for the topology(bottom page 70 Hartshorne) of affines to show something like  x \in D_f \subset \mbox{Spec} A \subset X and  D_f \subset U.
  • The result follows from II.2.1.

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