Results 1 to 10 of about 2,004,759 (371)
Approximate and discrete Euclidean vector bundles [PDF]
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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Higgs bundles twisted by a vector bundle
International Journal of Mathematics, 2021 In this paper, we consider a generalization of the theory of Higgs bundles over a smooth complex projective curve in which the twisting of the Higgs field by the canonical bundle of the curve is replaced by a rank 2 vector bundle. We define a Hitchin map
Guillermo Gallego +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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Superpotentials for vector bundle moduli [PDF]
Nuclear Physics B, 2002 26 pages, LaTeX; corrected typos, added ...
E. Buchbinder, R. Donagi, B. Ovrut
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On the positivity of the first Chern class of an Ulrich vector bundle [PDF]
Communications in Contemporary Mathematics, 2020 We study the positivity of the first Chern class of a rank [Formula: see text] Ulrich vector bundle [Formula: see text] on a smooth [Formula: see text]-dimensional variety [Formula: see text].
A. Lopez
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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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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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