Results 11 to 20 of about 240 (137)
On the Existence of Equivariant Embeddings of Principal Bundles into Vector Bundles [PDF]
Proceedings of the American Mathematical Society, 1983 Let G G be a finite group and let
Hansen, Vagn Lundsgaard +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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Computations with equivariant toric vector bundles [PDF]
Journal of Software for Algebra and Geometry, 2010 The study of equivariant vector bundles on a toric variety can yield important geometric information about the underlying variety. The package ToricVectorBundles facilitates calculations with such equivariant vector bundles. This package implements two complimentary descriptions of vector bundles and allows for standard operations such as dualizing ...
René Birkner +2 more
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Algebraic realization of equivariant vector bundles
Journal für die reine und angewandte Mathematik (Crelles Journal), 1994 Let \(G\) be a compact Lie group and \(\Omega\) an orthogonal representation of \(G\). We think of an orthogonal representation as an underlying Euclidean space \(\mathbb{R}^ n\) together with an action of \(G\) via orthogonal maps. A real algebraic \(G\) variety is the set of common zeros of polynomials \(p_ 1,\dots,p_ m: \Omega \to \mathbb{R}\), \[ V
DOVERMANN, KH +2 more
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Seshadri constants of equivariant vector bundles on toric varieties [PDF]
Journal of Algebra, 2022 26 pages, 2 figures, comments are ...
Dasgupta, Jyoti +2 more
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Equivariant semialgebraic vector bundles
Topology and its Applications, 2002 The authors prove that every semialgebraic \(G\)-vector bundle over a semialgebraic \(G\)-set \(E\) has a semialgebraic classifying \(G\)-map and moreover that the set of semialgebraic \(G\)-isomorphism classes of semialgebraic \(G\)-vector bundles over \(E\) corresponds bijectively to the set of topological \(G\)-isomorphism classes of topological \(G\
Choi, Myung-Jun +2 more
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Equivariant vector bundles over quantum spheres [PDF]
Journal of Noncommutative Geometry, 2021 We quantize SO(2n+1) -equivariant vector bundles over an even complex sphere \mathbb{S}^{2n} as one-sided projective modules over its quantized coordinate ring.
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Stability of Equivariant Vector Bundles over Toric Varieties
Documenta Mathematica, 2020 We give a complete answer to the question of (semi)stability of tangent bundles on any nonsingular complex projective toric variety with Picard number 2 by using combinatorial criterion of (semi)stability of an equivariant sheaf. We also give a complete answer to the question of (semi)stability of tangent bundles on all toric Fano ...
Dasgupta, Jyoti +2 more
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On Equivariant Vector Bundles on an Almost Homogeneous Variety [PDF]
Nagoya Mathematical Journal, 1975 Let k be an algebraically closed field of arbitrary characteristic. Let T be an n-dimensional algebraic torus, i.e. T = Gm × · · · × Gm n-times), where Gm = Spec (k[t, t-1]) is the multiplicative group.
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Erratum to: "Stability of equivariant vector bundles over toric varieties"
Documenta Mathematica, 2021 We correct the proof of [the authors, ibid. 25, 1787–1833 (2020; Zbl 1445.14071), Proposition 3.1.1].
Dasgupta, Jyoti +2 more
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