Formal Scheme - Morphisms Between Formal Schemes

Morphisms Between Formal Schemes

A morphism of locally noetherian formal schemes is a morphism of them as locally ringed spaces such that the induced map is a continuous homomorphism of topological rings for any affine open subset U.

f is said to be adic or is a -adic formal scheme if there exists an ideal of definition such that is an ideal of definition for . If f is adic, then this property holds for any ideal of definition.

Read more about this topic:  Formal Scheme

Famous quotes containing the words formal and/or schemes:

    “The spiritual kinship between Lincoln and Whitman was founded upon their Americanism, their essential Westernism. Whitman had grown up without much formal education; Lincoln had scarcely any education. One had become the notable poet of the day; one the orator of the Gettsyburg Address. It was inevitable that Whitman as a poet should turn with a feeling of kinship to Lincoln, and even without any association or contact feel that Lincoln was his.”
    —Edgar Lee Masters (1869–1950)

    “Science is a dynamic undertaking directed to lowering the degree of the empiricism involved in solving problems; or, if you prefer, science is a process of fabricating a web of interconnected concepts and conceptual schemes arising from experiments and observations and fruitful of further experiments and observations.”
    —James Conant (1893–1978)