In algebraic geometry, a branch of mathematics, a morphism of schemes is a finite morphism if has an open cover by affine schemes
such that for each ,
is an open affine subscheme, and the restriction of f to, which induces a map of rings
makes a finitely generated module over .
Read more about Finite Morphism: Properties of Finite Morphisms, Morphisms of Finite Type
Famous quotes containing the word finite:
“We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because he has neither extension nor limits.”
—Blaise Pascal (1623–1662)