"Unramified morphism"@en . . . . . . . "3101"^^ . . . . . . . . . "In algebraic geometry, an unramified morphism is a morphism of schemes such that (a) it is locally of finite presentation and (b) for each and , we have that 1. \n* The residue field is a separable algebraic extension of . 2. \n* where and are maximal ideals of the local rings. A flat unramified morphism is called an \u00E9tale morphism. Less strongly, if satisfies the conditions when restricted to sufficiently small neighborhoods of and , then is said to be unramified near ."@en . "In algebraic geometry, an unramified morphism is a morphism of schemes such that (a) it is locally of finite presentation and (b) for each and , we have that 1. \n* The residue field is a separable algebraic extension of . 2. \n* where and are maximal ideals of the local rings. A flat unramified morphism is called an \u00E9tale morphism. Less strongly, if satisfies the conditions when restricted to sufficiently small neighborhoods of and , then is said to be unramified near . Some authors prefer to use weaker conditions, in which case they call a morphism satisfying the above a G-unramified morphism."@en . . . . "58653736"^^ . "957947447"^^ . . . . . .