Exercise 111.51.1 (02FG): Definitions

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Part 9: Miscellany
Chapter 111: Exercises
Section 111.51: Schemes, Final Exam, Fall 2007
Exercise 111.51.1: Definitions (cite)

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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 July 25, 2014 at 12:20

Point (3) should have "morphism" (singular) instead of "morphisms".

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