Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Let $A$ be a commutative graded algebra over a field $k$ and $X=\operatorname{Proj}(A)$ is a smooth scheme, then $E=\oplus_{i \geq 0} \mathcal O_X(i)$ is a quasi-coherent sheaf of algebras on $X$. I can take relative $\operatorname{Spec}E$, geometrically this is total space of the line bundle $\mathcal O_X(-1)$. How $\operatorname{Spec}E$ is related to $\operatorname{Spec} A$? Where $\operatorname{Spec} A$ is just spectrum of the ring $A$ as commutative ring, that is geometrically a cone over $X$ in affine space .

share|cite|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.