In algebraic geometry, a new scheme (e.g. an algebraic variety) can be obtained by gluing existing schemes through gluing maps. Suppose there is a (possibly...

\operatorname {Spec} (R)} are the affine schemes; a general scheme is then obtained by "gluing together" affine schemes. Much of algebraic geometry focuses...

In mathematics, the gluing axiom is introduced to define what a sheaf F {\displaystyle {\mathcal {F}}} on a topological space X {\displaystyle X} must...

tensor product of commutative rings (cf. gluing schemes). In particular, when X, Y, and Z are all affine schemes, so X = Spec(A), Y = Spec(B), and Z = Spec(C)...

generalization of the schemes of algebraic geometry, introduced by Michael Artin for use in deformation theory. Intuitively, schemes are given by gluing together affine...

isomorphic to one of this form is called an affine scheme. General schemes are obtained by gluing affine schemes together. Similarly, for a module M {\displaystyle...

doi:10.1080/17480272.2017.1396622. ISSN 1748-0272. Spielman, Patrick (1986). Gluing and Clamping: A Woodworker's Handbook. Sterling Publishing Company. ISBN 978-0-8069-6274-0...

algebraic geometry is supposed to extend a notion of an algebraic scheme by suitable gluing of spectra of noncommutative rings; depending on how literally...

1] × [0,1] and gluing a pair of opposite edges on the boundary by a suitable diffeomorphism. A projective plane may be obtained by gluing a sphere with...

in Hartshorne. Remark 1.5 in Vistoli Schwede, Karl (2005), "Gluing schemes and a scheme without closed points", Recent progress in arithmetic and algebraic...

in the category of schemes. A morphism of algebraic stacks generalizes a morphism of schemes. By definition, a morphism of schemes is just a morphism...

Then the normalization of X is defined by gluing together the affine schemes Spec Bi. If the initial scheme is not irreducible, the normalization is defined...

Glue is a 2001 novel by Scottish writer Irvine Welsh. Glue tells the stories of four Scottish boys over four decades, through the use of different perspectives...

In this view, scripting is glue code, connecting software components, and a language specialized for this purpose is a glue language. Pipelines and shell...

union of two integral schemes is not integral. However, for irreducible schemes, it is a local property.) For example, the scheme Spec k[t]/f, f irreducible...

Tracking Assets in the Production of 'Final Fantasy: The Spirits Within' Gluing Things Together - Scheme in a Real-time CG Content Production v t e v t e...

{\displaystyle S} be a scheme obtained by identifying two affine lines through the identity map except at the origins (see gluing scheme#Examples). It is not...

a Noetherian ring. A scheme is obtained by gluing together spectra of rings in the same way that a manifold is obtained by gluing together charts. So the...

This is one of the basic ideas of scheme theory, which allows one to build general algebraic varieties by gluing together affine varieties in a way similar...

Synopsis Inc. Retrieved 2012-08-09. Kawai, Shiro (October 2002). "Gluing Things Together - Scheme in the Real-time CG Content Production". Proceedings of the...

most of their schemes collapsing into failure. Later seasons adopted a cyclical formula: each season finale featured the boys' schemes succeeding, and...

coverable by open subsets isomorphic to euclidean space, or schemes being coverable by affines. Schemes over k can be analytified functorially, much like varieties...

category O(Xét) whose objects are schemes U with a fixed étale morphism U → X. The morphisms are morphisms of schemes compatible with the fixed maps to...

second situation, a common way of constructing the fiber product of schemes involves gluing along affine patches. To alleviate the inelegance of this construction...

schemes usually do not provide the key commitment, a guarantee that the decryption would fail for any other key. As of 2021, most existing AE schemes...

general holomorphic functions along a subvariety V of W are defined by gluing together holomorphic functions on affine subvarieties. Zariski, Oscar (1949)...

such gluing. The intuitive meaning of a stack is that it is a fibred category such that "all possible gluings work". The specification of gluings requires...

obtained by gluing morphisms of affine schemes, it follows that the category of varieties is a full subcategory of the category of schemes over k. For...

but his tooth falls out before he can go. Henry catches the boys trying to glue the tooth back into Dennis' mouth. Dennis hopes George will go in his place...

are building a project. Jeanette goes to Jeff's room to borrow some wood glue. Jeanette tries to boost Jeff's ego a little. Donna tells Alex she's afraid...