Exercise 111.51.1 (Definitions). Provide definitions of the following concepts.

$X$ is a

*scheme*the morphism of schemes $f : X \to Y$ is

*finite*the morphisms of schemes $f : X \to Y$ is

*of finite type*the scheme $X$ is

*Noetherian*the ${\mathcal O}_ X$-module ${\mathcal L}$ on the scheme $X$ is

*invertible*the

*genus*of a nonsingular projective curve over an algebraically closed field

## Comments (1)

Comment #849 by Johan Commelin on