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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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The partition bundle of type A_{N-1} (2, 0) theory [PDF]
, 2006 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).
Andouze-Bernard, Séverine +2 more
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A NOTE ON SUB-BUNDLES OF VECTOR BUNDLES [PDF]
Glasgow Mathematical Journal, 2006 4 pages, various ...
Crawley-Boevey, William +1 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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On Poincaré bundles of vector bundles on curves [PDF]
manuscripta mathematica, 2005 8 ...
Lange, H., Newstead, P. E.
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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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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
Chen, Zhuo, Liu, Zhang Ju, Sheng, Yun He
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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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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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On the Variety of Paths on Complete Intersections in Grassmannians
Моделирование и анализ информационных систем, 2014 In this article we study the Fano variety of lines on the complete intersection of the grassmannian G(n, 2n) with hypersurfaces of degrees d1 ..., di . A length l path on such a variety is a connected curve composed of l lines.
S. M. Yermakova
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