affine scheme in a sentence
1) I claim these finite open sets are affine schemes .
affine collocations
2) Sometimes other algebraic sites replace the category of affine schemes .
3) Our induction hypothesis tells us that Yn is an affine scheme .
affine scheme example sentences
4) The datum of the space and the sheaf is called an affine scheme .5) schemes are likewise glued together from affine schemes , which are a generalization of algebraic varieties.
6) The corresponding pre-images in X, Y , and Z are localizations also and thus are affine schemes .
7) In particular the definition of an affine scheme is based on the properties of these two kinds of localizations.
8) Given an affine scheme , the underlying ring "R" can be recovered as the global sections of __FORMULA__.
9) It allows us to contract any closed subscheme of an affine scheme over a field k, to a point.
10) This will replace Z with Y (whatever that might mean) while keeping X ∪Z Y an affine scheme .
11) However now we are in the case of 3.4 so X ∪Z Y = X ∪W Y is an affine scheme .
12) Suppose X = Spec A and Y = Spec B are affine schemes and suppose the scheme Z = Spec C maps to them via the maps φ and ψ as before.
13) Another case where 3.4 can be directly applied is if we remove a part of an affine scheme via some localization (inverting certain elements).
14) Affine schemes are-much the same way as manifolds are locally given by open subsets of R"n"-local models for schemes, which are the object of study in algebraic geometry.
15) (Commutative rings)op ≅ ( affine schemes )
example sentences with affine scheme
16) In addition, ring homomorphisms are in one-to-one correspondence with morphisms of affine schemes , thereby there is an equivalence17) "fppf" stands for ', and in this topology, a morphism of affine schemes is a covering morphism if it is faithfully flat, of finite presentation, and is quasi-finite.
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