Definition 10.17.1 (00DZ)—The Stacks project

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The spectrum of $R$ is the set of prime ideals of $R$ . It is usually denoted $\mathop{\mathrm{Spec}}(R)$ .
Given a subset $T \subset R$ we let $V(T) \subset \mathop{\mathrm{Spec}}(R)$ be the set of primes containing $T$ , i.e., $V(T) = \{ \mathfrak p \in \mathop{\mathrm{Spec}}(R) \mid \forall f\in T, f\in \mathfrak p\}$ .
Given an element $f \in R$ we let $D(f) \subset \mathop{\mathrm{Spec}}(R)$ be the set of primes not containing $f$ .

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