Results 31 to 40 of about 335,042 (355)

ON THE STRATIFIED VECTOR BUNDLES [PDF]

International Journal of Mathematics, 2009
The stratified vector bundles on a smooth variety defined over an algebraically closed field k form a neutral Tannakian category over k. We investigate the affine group-scheme corresponding to this neutral Tannakian category.
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Structure theorem for Jordan algebra bundles [PDF]

Arab Journal of Mathematical Sciences
Purpose – The aims of this paper is to prove that every semisimple Jordan algebra bundle is locally trivial and establish the decomposition theorem for locally trivial Jordan algebra bundles using the decomposition theorem of Lie algebra bundles.
Ranjitha Kumar
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Horrocks Correspondence on a Quadric Surface [PDF]

, 2013
We extend the Horrocks correspondence between vector bundles and cohomology modules on the projective plane to the product of two projective lines.
Malaspina, F., Rao, A. P.
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On double vector bundles

Acta Mathematica Sinica, English Series, 2014
In this paper, we construct a category of short exact sequences of vector bundles and prove that it is equivalent to the category of double vector bundles. Moreover, operations on double vector bundles can be transferred to operations on the corresponding short exact sequences. In particular, we study the duality theory of double vector bundles in term
Zhangju Liu, Zhuo Chen, Yunhe Sheng
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Regulous vector bundles

Mathematische Nachrichten, 2018
AbstractAmong recently introduced new notions in real algebraic geometry is that of regulous functions. Such functions form a foundation for the development of regulous geometry. Several interesting results on regulous varieties and regulous sheaves are already available. In this paper, we define and investigate regulous vector bundles.
Kucharz, Wojciech, Zieliński, Maciej
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Dirac Structures on Banach Lie Algebroids

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In the original definition due to A. Weinstein and T. Courant a Dirac structure is a subbundle of the big tangent bundle T M ⊕ T* M that is equal to its ortho-complement with respect to the so-called neutral metric on the big tangent bundle.
Vulcu Vlad-Augustin
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OBSTRUCTIONS TO ALGEBRAIZING TOPOLOGICAL VECTOR BUNDLES

Forum of Mathematics, Sigma, 2019
Suppose $X$ is a smooth complex algebraic variety. A necessary condition for a complex topological vector bundle on $X$ (viewed as a complex manifold) to be algebraic is that all Chern classes must be algebraic cohomology classes, that is, lie in the ...
A. ASOK, J. FASEL, M. J. HOPKINS
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Kobayashi—Hitchin correspondence for twisted vector bundles

Complex Manifolds, 2021
We prove the Kobayashi—Hitchin correspondence and the approximate Kobayashi—Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds.
Perego Arvid
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Weakly uniform rank two vector bundles on multiprojective spaces [PDF]

, 2010
Here we classify the weakly uniform rank two vector bundles on multiprojective spaces. Moreover we show that every rank $r>2$ weakly uniform vector bundle with splitting type $a_{1,1}=...=a_{r,s}=0$ is trivial and every rank $r>2$ uniform vector bundle ...
Ballico, Edoardo, Malaspina, Francesco
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Weighted E-Spaces and Epistemic Information Operators

Information, 2014
Information is usually related to knowledge. Here, we present a broader picture in which information is associated with epistemic structures, which form cognitive infological systems as basic recipients and creators of cognitive information.
Mark Burgin
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