Definition 29.51.8. Let $X$ and $Y$ be integral schemes. Let $f : X \to Y$ be locally of finite type and dominant. Assume $[R(X) : R(Y)] < \infty $, or any other of the equivalent conditions (1) – (4) of Lemma 29.51.7. Then the positive integer

\[ \deg (X/Y) = [R(X) : R(Y)] \]

is called the *degree of $X$ over $Y$*.

## Comments (0)

There are also: