Definition 27.6.1. Let $S$ be a scheme. Let $\mathcal{E}$ be a quasi-coherent $\mathcal{O}_ S$-module^{1}. The *vector bundle associated to $\mathcal{E}$* is

\[ \mathbf{V}(\mathcal{E}) = \underline{\mathop{\mathrm{Spec}}}_ S(\text{Sym}(\mathcal{E})). \]

## Comments (2)

Comment #4182 by Dmitrii Pedchenko on

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