# generically finite morphism

Let $f:X\rightarrow Y$ be a morphism of schemes. Assume $Y$ is irreducible and let $y$ be the generic point of $Y$. Then $f$ is generically finite if $f^{-1}(y)$ is finite.

Title generically finite morphism GenericallyFiniteMorphism 2013-03-22 18:09:17 2013-03-22 18:09:17 neapol1s (9480) neapol1s (9480) 6 neapol1s (9480) Definition msc 14A15 Generically Finite Morphism Generically Finite