Results 11 to 20 of about 330,065 (353)
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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On Poincaré bundles of vector bundles on curves [PDF]
manuscripta mathematica, 2005 8 ...
Herbert Lange, Peter E. Newstead
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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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Vector Bundles with No Soul [PDF]
Proceedings of the American Mathematical Society, 1994 We exhibit vector bundles over compact manifolds of nonnegative sectional curvature whose total spaces do not admit a complete metric of nonnegative sectional curvature.
Murad Özaydin, Gerard Walschap
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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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A NOTE ON SUB-BUNDLES OF VECTOR BUNDLES [PDF]
Glasgow Mathematical Journal, 2006 4 pages, various ...
Bernt Tore Jensen +1 more
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p-Buchsbaum rank 2 bundles on the projective space [PDF]
, 2014 It has been proved by various authors that a normalized, 1-Buchsbaum rank 2 vector bundle on P3 is a nullcorrelation bundle, while a normalized, 2-Buchsbaum rank 2 vector bundle on P3 is an instanton bundle of charge 2.
Jardim, Marcos, Marchesi, Simone
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Polarisation of Graded Bundles [PDF]
, 2016 We construct the full linearisation functor which takes a graded bundle of degree $k$ (a particular kind of graded manifold) and produces a $k$-fold vector bundle.
Bruce, Andrew James +2 more
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PARABOLIC VECTOR BUNDLES AND EQUIVARIANT VECTOR BUNDLES [PDF]
International Journal of Mathematics, 2002 Given a complex manifold X, a normal crossing divisor D ⊂ X whose irreducible components D1, …, Ds are smooth, and a choice of natural numbers [Formula: see text], we construct a manifold [Formula: see text] with an action of a torus Γ and we prove that some full subcategory of the category of Γ-equivariant vector bundles on [Formula: see text] is ...
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, 2008 This is the first volume of a three volume collection of Andrey Nikolaevich Tyurin's Selected Works. It includes his most interesting articles in the field of classical algebraic geometry, written during his whole career from the 1960s. Most of these papers treat different problems of the theory of vector bundles on curves and higher dimensional ...
Tyurin, Andrey, Bogomolov, Fedor
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