Results 11 to 20 of about 335,042 (355)
Stable Higgs bundles over positive principal elliptic fibrations
Complex Manifolds, 2018 Let M be a compact complex manifold of dimension at least three and Π : M → X a positive principal elliptic fibration, where X is a compact Kähler orbifold. Fix a preferred Hermitian metric on M.
Biswas Indranil +2 more
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Vector Bundle Model of Complex Electromagnetic Space and Change Detection [PDF]
Entropy, 2018 Complex Electromagnetic Space (CEMS), which consists of physical space and the complex electromagnetic environment, plays an essential role in our daily life for supporting remote communication, wireless network, wide-range broadcast, etc.
Hao Wu +3 more
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Locally trivial quantum vector bundles and associated vector bundles [PDF]
arXiv, 2000 We define locally trivial quantum vector bundles (QVB) and QVB associated to locally trivial quantum principal fibre bundles. There exists a differential structure on the associated vector bundle coming from the differential structure on the principal bundle, which allows to define connections on the associated vector bundle associated to connections ...
Calow, Dirk, Matthes, Rainer
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Anti-ample bundle, nef vector bundle, big vector bundle [PDF]
arXiv7 pages.
Biswas, Indranil +3 more
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Diffeological vector pseudo-bundles
Topology and its Applications, 2015 We consider a diffeological counterpart of the notion of a vector bundle (we call this counterpart a pseudo-bundle, although in the other works it is called differently; among the existing terms there are a "regular vector bundle" of Vincent and ...
Pervova, Ekaterina
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EULER CHARACTERISTIC OF TANGO BUNDLES
Tạp chí Khoa học Đại học Đà Lạt, 2022 We are interested in a vector bundle constructed by Tango (1976). The Tango bundle is an indecomposable vector bundle of rank \(n-1\) on the complex projective space \(\mathbb{P}^n\).
Hong Cong Nguyen +2 more
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Approximate and discrete Euclidean vector bundles
Forum of Mathematics, Sigma, 2023 We introduce $\varepsilon $ -approximate versions of the notion of a Euclidean vector bundle for $\varepsilon \geq 0$ , which recover the classical notion of a Euclidean vector bundle when $\varepsilon = 0$ .
Luis Scoccola, Jose A. Perea
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Comptes Rendus. Mathématique, 2021 In this note, We show that over a compact Hermitian manifold $(X, \omega )$ whose metric satisfies $\partial \bar{\partial }\omega ^{n - 1} = \partial \bar{\partial }\omega ^{n - 2} = 0$, every pseudo-effective vector bundle with vanishing first Chern ...
Chen, Yong
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Bigness of the tangent bundles of projective bundles over curves
Comptes Rendus. Mathématique, 2023 In this short article, we determine the bigness of the tangent bundle $T_X$ of the projective bundle $X=\mathbb{P}_C(E)$ associated to a vector bundle $E$ on a smooth projective curve $C$.
Kim, Jeong-Seop
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On Ampleness of vector bundles [PDF]
Comptes Rendus. Mathématique, 2021 In this article, we give a necessary and sufficient condition for ampleness of semistable vector bundles with vanishing discriminant on a smooth projective variety $X$. As an application, we show ampleness of some special vector bundles on certain ruled surfaces. We prove similar results for parabolic ampleness.
Snehajit Misra, Nabanita Ray
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