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But we are not paid to review films, feel free to contact us at hello@mediapunch.com with any questions.

Leak. Badmaash Company 10th August 2010 Waris Khan, Satish Shah. Film Review: Badmaash Company. But we are not paid to review films, feel free to contact us at hello@mediapunch.com with any questions.
Badmaash Company 15th August 2010 Satish Shah, TV actor. Film Review: Badmaash Company. Kavita Nair, Urvashi Dholakia, Ali Fazal and Maulik Pancholy are. No bollywood stars in this. Subtitles: English, Hindi.
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What is it? A chemical reaction. What happens? Two reaction partners bond and release a gas. Which reaction partner(s) are involved? The products of this reaction are water and oxygen. What is the reaction overall called? Hydrolysis. What are the chemical implications of this reaction? Release of water and release of oxygen means the reaction created energy (heat) and created a by-product (CO2). The “up” arrow on the face of the reaction is indicating that the direction of the reaction is “up” and is causing the reaction to release energy. The “down” arrow indicates that the direction of the reaction is “down” and the reaction is taking energy from the system.

In this reaction, you could also note that the O can react with water and give O2 and H2O, so in this reaction, O2 can be produced. Also H2O can be produced. It is the reactant that causes the product.

This is another reaction that can be done with oxygen and hydrogen and

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Mark Borer-Michelson Spaces are projectively equivalent to projective bundles

I want to solve some problems in Elliptic Curves, I read this article, where in the section about Mark Borer-Michelson Spaces he says that:

$X_{\rm MM}$ is projectively equivalent to the projective bundle $p: P(E)\to B$ of a vector bundle $E\to B$ where $P(E)$ is the projectivization of $E$.

But I don’t understand this sentence. In particular: why $p: P(E)\to B$ is called projective bundle? Why $P(E)$ is projective?
I think that there is a theorem in algebraic geometry or projective geometry but it is not obvious to me. So if someone could help I would appreciate it.

A:

By definition, a projective bundle $p\colon P\to B$ is a smooth morphism of algebraic stacks locally of finite presentation, where a local presentation is given by a cartesian diagram
$$\begin{matrix}
Z & \to & P\\
\downarrow &&\downarrow\\
\overline{B} & \to & B
\end{matrix}$$
where $Z\to \overline{B}$ is an algebraic space. Now if $P$ is given by a vector bundle $E\to B$, then $P$ is algebraic, so we can identify $Z$ with the projectivization of $E$ (with a stack structure). That the morphism is locally of finite presentation means that the projective line bundle $O_P(-1)$ is a family of $\mathbb{P}^1$’s in $P$ such that at any point $[p]\in P$ it is locally trivial, locally at $[p]$ a family of $\mathbb{P}^1$’s is given by a vector bundle on the fiber over
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