Tale Morphisms

Some articles on tale morphisms, tale, morphisms, morphism:

Étale Morphism - Properties of étale Morphisms
... Étale morphisms are preserved under composition and base change ... Étale morphisms are local on the source and on the base ... In other words, is étale if and only if for each covering of by open subschemes the restriction of to each of the open subschemes of the covering is ...
Étale Topology - Definitions
... For any scheme X, let Ét(X) be the category of all étale morphisms from a scheme to X ... of open subsets of X (that is, the category whose objects are varieties and whose morphisms are open immersions) ... Its objects can be informally thought of as étale open subsets of X ...
Glossary Of Scheme Theory - Properties of Scheme Morphisms - Unramified and étale Morphisms
... For a point in, consider the corresponding morphism of local rings Let be the maximal ideal of, and let be the ideal generated by the image of in ... The morphism is unramified if it is locally of finite presentation and if for all in, is the maximal ideal of and the induced map is a finite ... A morphism is étale if it is flat and unramified ...
Étale Cohomology - Definitions
... X the category Et(X) is the category of all étale morphisms from a scheme to X ... topological space, and its objects can be thought of informally as "étale open subsets" of X ... space corresponds to the pullback of two étale maps to X ...

Famous quotes containing the word tale:

    In the tale proper—where there is no space for development of character or for great profusion and variety of incident—mere construction is, of course, far more imperatively demanded than in the novel.
    Edgar Allan Poe (1809–1849)