# Algebraic Geometry (2nd question)

1. Nov 11, 2009

### esisk

Here is a similar one that again tells me that my undestanding of the notions is still not there. I would like to know why the the polynomials x^2, xy, y^2 generate the the structire sheaf on O_P1 (2).
Again I have attached the question. Thank you, any help is appreciated

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2. Nov 11, 2009

### Hurkyl

Staff Emeritus
Isn't $\mathcal{O}_{\mathbb{P}^1}(2)$, by definition, the graded 2 part of the homogeneous coordinate ring?