Results 21 to 30 of about 162,218 (329)
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
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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
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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
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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
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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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On fuzzy subbundles of vector bundles
International Journal of Mathematics and Mathematical Sciences, 2003 This paper considers fuzzy subbundles of a vector bundle. We define the operations sum, product, tensor product, Hom, and intersection of fuzzy subbundles and in each case, we characterize the corresponding flag of vector subbundles.
V. Murali, G. Lubczonok
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Derived Category and ACM Bundles of Moduli Space of Vector Bundles on a Curve
Forum of Mathematics, Sigma, 2023 We show that the derived category of a curve is embedded into the derived category of the moduli space of vector bundles on the curve of coprime rank and degree.
Kyoung-Seog Lee, Han-Bom Moon
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Opers of higher types, Quot-schemes and Frobenius instability loci [PDF]
Épijournal de Géométrie Algébrique, 2020 In this paper we continue our study of the Frobenius instability locus in the coarse moduli space of semi-stable vector bundles of rank $r$ and degree $0$ over a smooth projective curve defined over an algebraically closed field of characteristic $p>0 ...
Kirti Joshi, Christian Pauly
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Vector bundles and blowups [PDF]
, 2017 Let X be a nonsingular quasi-projective complex algebraic variety and let E be an algebraic vector bundle on X of rank r ≥ 2. The pullback of E by the blowup of X at a suitably chosen nonsingular subvariety of X of codimension r contains a line subbundle
Jelonek, Zbigniew +2 more
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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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