Definition 76.6.1. Let i : Z \to X be an immersion. The conormal algebra \mathcal{C}_{Z/X, *} of Z in X or the conormal algebra of i is the quasi-coherent sheaf of graded \mathcal{O}_ Z-algebras \bigoplus _{n \geq 0} \mathcal{I}^ n/\mathcal{I}^{n + 1} described above.
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