Search for "Vector bundles" in article titles:

  1. Vector bundles on algebraic curves: In mathematics, vector bundles on algebraic curves may be studied as holomorphic vector bundles on compact Riemann surfaces, which is the classical approach, or as locally free sheaves on algebraic curves C in a more general, algebraic setting (which can ... [100%] 2024-09-01 [Algebraic curves] [Vector bundles]...
  2. Moduli stack of vector bundles: In algebraic geometry, the moduli stack of rank-n vector bundles Vectn is the stack parametrizing vector bundles (or locally free sheaves) of rank n over some reasonable spaces. It is a smooth algebraic stack of the negative dimension \displaystyle ... (Concept in algebraic geometry) [100%] 2023-10-30 [Algebraic geometry]
  3. Moduli stack of vector bundles: In algebraic geometry, the moduli stack of rank-n vector bundles Vectn is the stack parametrizing vector bundles (or locally free sheaves) of rank n over some reasonable spaces. It is a smooth algebraic stack of the negative dimension − n ... (Concept in algebraic geometry) [100%] 2023-10-19 [Algebraic geometry]

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  1. Vector bundle: A fibre space $ \pi : X \rightarrow B $ each fibre $ \pi ^ {-1} ( b) $ of which is endowed with the structure of a (finite-dimensional) vector space $ V $ over a skew-field $ {\mathcal P} $ such that the following local triviality condition is ... (Mathematics) [100%] 2024-01-12
  2. Vector bundle: In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X {\displaystyle X} (for example X {\displaystyle X} could be a topological space, a manifold, or ... (Mathematical parametrization of vector spaces by another space) [100%] 2024-12-12 [Vector bundles]
  3. Bundles (album): Bundles is the eighth studio album by the jazz-rock band Soft Machine, released in 1975. By the time of Bundles, most of Soft Machine's members had previously been part of the jazz-rock band Nucleus, the exception being ... (Album) [86%] 2024-12-24 [Soft Machine albums] [1975 albums]...
  4. Positive vector bundle: A generalization of the concept of a divisor of positive degree on a Riemann surface. A holomorphic vector bundle $ E $ over a complex space $ X $ is called positive (denoted by $ E > 0 $) if on $ E $ there exists a Hermitian metric ... (Mathematics) [81%] 2023-09-23
  5. Vector bundle, algebraic: A morphism of varieties $ E \to X $ that locally (in the Zariski topology) has the structure of a projection of a direct product $ \mathbb{k}^{n} \times X $ onto $ X $, such that the gluing preserves the linear structure of the ... (Mathematics) [81%] 2023-08-27
  6. Vector bundle, analytic: A locally trivial analytic bundle over an analytic space whose fibres have the structure of an $ n $-dimensional vector space over a ground field $ k $ (if $ k = \mathbf C $ is the field of complex numbers, the analytic bundle is said ... (Mathematics) [81%] 2023-10-20
  7. Flat vector bundle: In mathematics, a vector bundle is said to be flat if it is endowed with a linear connection with vanishing curvature, i.e. a flat connection. [81%] 2022-11-23 [Vector bundles]
  8. Negative vector bundle: A holomorphic vector bundle (cf. also Vector bundle, analytic) $E$ over a complex space $X$ that possesses a Hermitian metric $h$ such that the function $v\to h(v,v)$ on $E$ is strictly pseudo-convex outside the zero section ... (Mathematics) [81%] 2023-10-18
  9. Complex vector bundle: In mathematics, a complex vector bundle is a vector bundle whose fibers are complex vector spaces. Any complex vector bundle can be viewed as a real vector bundle through the restriction of scalars. [81%] 2023-09-19 [Vector bundles]
  10. Stable vector bundle: In mathematics, a stable vector bundle is a (holomorphic or algebraic) vector bundle that is stable in the sense of geometric invariant theory. Any holomorphic vector bundle may be built from stable ones using Harder–Narasimhan filtration. [81%] 2023-05-30 [Algebraic geometry]
  11. Double vector bundle: In mathematics, a double vector bundle is the combination of two compatible vector bundle structures, which contains in particular the tangent \displaystyle{ TE }[/math] of a vector bundle \displaystyle{ E }[/math] and the double tangent bundle \displaystyle{ T^2M }[/math ... [81%] 2024-03-16 [Differential geometry] [Topology]...
  12. Flat vector bundle: In mathematics, a vector bundle is said to be flat if it is endowed with a linear connection with vanishing curvature, i.e. a flat connection. [81%] 2024-05-05 [Vector bundles]
  13. Complex vector bundle: In mathematics, a complex vector bundle is a vector bundle whose fibers are complex vector spaces. Any complex vector bundle can be viewed as a real vector bundle through the restriction of scalars. [81%] 2024-12-05 [Vector bundles]
  14. Bungles: Bungles is a series of four American black-and-white short silent comedy films produced by Louis Burstein for Jacksonville's Vim Comedy Company in 1916. While the series featured Oliver Hardy, Marcel Perez acted in the leading role as ... [74%] 2024-01-04 [1916 comedy films] [1916 short films]...
  15. Bundled (film): Bundled (2001) is Singing Chen’s directorial debut. Shot in a surreal style, it focuses on a group of marginalized wanderers with no identities, who inhabit the dark corners of Taipei City. (Film) [74%] 2024-01-07 [2001 films] [Taiwanese drama films]...
  16. Bundle (mathematics): In mathematics, a bundle is a generalization of a fiber bundle dropping the condition of a local product structure. The requirement of a local product structure rests on the bundle having a topology. (Mathematics) [72%] 2024-01-12 [Category theory]
  17. Bundle: BUNDLE bun'-d'-l: Represents in English Versions of the Bible the words tseror, from a verb meaning "cramp" "bind," etc. (Genesis 42:35; 1 Samuel 25:29; Song of Solomon 1:13); tsebheth, from a verb probably meaning "to ... [72%] 1915-01-01
  18. Bundle: Bundle是NeXTSTEP、macOS、iOS、GNUstep等操作系统中使用的资源组织形式。它通过一种固定了文件名和文件结构的目录形式,将相关资源组合在一起,使这些资源可以像一个独立文件一样来访问和操作。一个Bundle通常包含一个可执行代码文件和一些资源文件,例如NIB文件,图像,声音,本地化字符串,配置文件(通常是属性列表文件)和其它媒体等。 在其他操作系统中,例如Windows,这类资源通常在编译时就被直接包含在了可执行文件中,或者需要与可执行文件一样保存到专门的文件夹中,增加了文件意外更改或丢失的风险,而Bundle使用文件夹来简化组织资源,使用户可以像使用普通文件一样使用Bundle,避免了这种复杂性。 在Mac OS 9中,该特性被称为“包”(package),而Mac OS. [72%] 2024-01-04 [MacOS]
  19. Bundle: Almost synonymous terms used in various areas are Topological bundle, Locally trivial fibre bundle, Fibre space, Fibration, Skew product etc. Particular cases are Vector bundle, Tangent bundle, Principal fibre bundle, $\dots$ A very flexible geometric construction aimed to represent a ... (Mathematics) [72%] 2024-01-04
  20. Nori-semistable vector bundle: In mathematics, a Nori semistable vector bundle is a particular type of vector bundle whose first definition has been first implicitly suggested by Madhav V. Nori, as one of the main ingredients for the construction of the fundamental group scheme. (Type of vector bundle) [70%] 2024-02-27 [Scheme theory] [Topological methods of algebraic geometry]...

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