# II.2.2

215,983pages on
this wiki

### Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected.

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.