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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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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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Mirror symmetry for Nahm branes [PDF]
Épijournal de Géométrie Algébrique, 2022 The Dirac--Higgs bundle is a hyperholomorphic bundle over the moduli space of stable Higgs bundles of coprime rank and degree. We provide an algebraic generalization to the case of trivial degree and the rank higher than $1$.
Emilio Franco, Marcos Jardim
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Axioms, 2022 We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials).
Helge Glöckner
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The partition bundle of type A_{N-1} (2, 0) theory [PDF]
, 2010 Six-dimensional (2, 0) theory can be defined on a large class of six-manifolds endowed with some additional topological and geometric data (i.e. an orientation, a spin structure, a conformal structure, and an R-symmetry bundle with connection).
AS Schwarz +18 more
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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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