Exercise 111.65.1 (Definitions). Provide brief definitions of the italicized concepts.
a scheme,
a quasi-coherent module on a scheme X,
a flat morphism of schemes X \to Y,
a finite morphism of schemes X \to Y,
a group scheme G over a base scheme S,
a family of varieties over a base scheme S,
the degree of a closed point x on a variety X over the field k,
the usual logarithmic height of a point p = (a_0 : \ldots : a_ n) in \mathbf{P}^ n(\mathbf{Q}), and
a C_ i field.
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