# generically finite morphism

Let $f:X\to Y$ 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 |
---|---|

Canonical name | GenericallyFiniteMorphism |

Date of creation | 2013-03-22 18:09:17 |

Last modified on | 2013-03-22 18:09:17 |

Owner | neapol1s (9480) |

Last modified by | neapol1s (9480) |

Numerical id | 6 |

Author | neapol1s (9480) |

Entry type | Definition |

Classification | msc 14A15 |

Defines | Generically Finite Morphism |

Defines | Generically Finite |