Results 11 to 20 of about 280,723 (307)
Vector bundles on G(1,4) without intermediate cohomology [PDF]
arXiv, 1998 We characterize the vector bundles on G(1,4) that have no intermediate cohomology. We obtain them from extensions of the universal bundles and others related with them.
Arrondo, Enrique, Grana, Beatriz
core +4 more sources
On the Buchsbaum index of rank two vector bundles on P3 [PDF]
arXiv, 2015 We classify rank two vector bundles on P3 with Buchsbaum index equal to three and also give some results on the H1-module of "negative instanton"bundles.Comment: Submitted to the proceedings of the Pau-Trieste conferences Vector bundles ...
Ellia, Philippe, Gruson, Laurent
core +5 more sources
arXiv, 2017 Among recently introduced new notions in real algebraic geometry is that of regulous functions. Such functions form a foundation for the development of regulous geometry.
Atiyah +34 more
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Cohomological characterization of vector bundles on multiprojective spaces [PDF]
, 2005 We show that Horrock's criterion for the splitting of vector bundles on $\PP^n$ can be extended to vector bundles on multiprojective spaces and to smooth projective varieties with the weak CM property (see Definition 3.11).
Costa, L., Miró-Roig, R. M.
core +2 more sources
Strictly nef vector bundles and characterizations of ℙn
Complex Manifolds, 2021 In this note, we give a brief exposition on the differences and similarities between strictly nef and ample vector bundles, with particular focus on the circle of problems surrounding the geometry of projective manifolds with strictly nef bundles.
Liu Jie, Ou Wenhao, Yang Xiaokui
doaj +1 more source
New Properties of Multiplier Submodule Sheaves
Comptes Rendus. Mathématique, 2022 In this note, we establish the strong openness and stability property of multiplier submodule sheaves associated to singular Nakano semi-positive metrics on holomorphic vector bundles, which generalizes the same properties for multiplier ideal sheaves ...
Liu, Zhuo, Yang, Hui, Zhou, Xiangyu
doaj +1 more source
OBSTRUCTIONS TO ALGEBRAIZING TOPOLOGICAL VECTOR BUNDLES
Forum of Mathematics, Sigma, 2019 Suppose $X$ is a smooth complex algebraic variety. A necessary condition for a complex topological vector bundle on $X$ (viewed as a complex manifold) to be algebraic is that all Chern classes must be algebraic cohomology classes, that is, lie in the ...
A. ASOK, J. FASEL, M. J. HOPKINS
doaj +1 more source
Chern classes of automorphic vector bundles, II [PDF]
Épijournal de Géométrie Algébrique, 2019 We prove that the $\ell$-adic Chern classes of canonical extensions of automorphic vector bundles, over toroidal compactifications of Shimura varieties of Hodge type over $\bar{ \mathbb{Q}}_p$, descend to classes in the $\ell$-adic cohomology of the ...
Hélène Esnault, Michael Harris
doaj +1 more source
Vector bundles over three-dimensional spherical space forms
International Journal of Mathematics and Mathematical Sciences, 2006 We consider the problem of enumerating the G-bundles over low-dimensional manifolds (dimension ≤3) and in particular vector bundles over the three-dimensional spherical space forms.
Esdras Teixeira Costa +2 more
doaj +1 more source
Simple vector bundles on plane degenerations of an elliptic curve [PDF]
, 2009 In 1957 Atiyah classified simple and indecomposable vector bundles on an elliptic curve. In this article we generalize his classification by describing the simple vector bundles on all reduced plane cubic curves.
Bodnarchuk, Lesya +2 more
core +3 more sources