Results 11 to 20 of about 162,218 (329)

Mirror symmetry for Nahm branes [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2022
The Dirac--Higgs bundle is a hyperholomorphic bundle over the moduli space of stable Higgs bundles of coprime rank and degree. We provide an algebraic generalization to the case of trivial degree and the rank higher than $1$.
Emilio Franco, Marcos Jardim
doaj   +1 more source

Automorphic vector bundles on the stack of G-zips

open access: yesForum of Mathematics, Sigma, 2021
For a connected reductive group G over a finite field, we study automorphic vector bundles on the stack of G-zips. In particular, we give a formula in the general case for the space of global sections of an automorphic vector bundle in terms of the ...
Naoki Imai, Jean-Stefan Koskivirta
doaj   +1 more source

PARABOLIC VECTOR BUNDLES AND EQUIVARIANT VECTOR BUNDLES [PDF]

open access: yesInternational 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 ...
openaire   +2 more sources

Topological insulators and geometry of vector bundles

open access: yesSciPost Physics Lecture Notes, 2023
For a long time, band theory of solids has focused on the energy spectrum, or Hamiltonian eigenvalues. Recently, it was realized that the collection of eigenvectors also contains important physical information.
Alexadner S. Sergeev
doaj   +1 more source

On nef and semistable hermitian lattices, and their behaviour under tensor product [PDF]

open access: yes, 2010
We study the behaviour of semistability under tensor product in various settings: vector bundles, euclidean and hermitian lattices (alias Humbert forms or Arakelov bundles), multifiltered vector spaces.
André, Yves
core   +2 more sources

Cox rings and pseudoeffective cones of projectivized toric vector bundles [PDF]

open access: yes, 2011
We study projectivizations of a special class of toric vector bundles that includes cotangent bundles, whose associated Klyachko filtrations are particularly simple.
Fulton   +10 more
core   +5 more sources

Complex Line Bundles over Simplicial Complexes and their Applications [PDF]

open access: yes, 2016
Discrete vector bundles are important in Physics and recently found remarkable applications in Computer Graphics. This article approaches discrete bundles from the viewpoint of Discrete Differential Geometry, including a complete classification of ...
C Kreft   +8 more
core   +3 more sources

Vector bundles trivialized by proper morphisms and the fundamental group scheme [PDF]

open access: yes, 2009
Let X be a smooth projective variety defined over an algebraically closed field k. Nori constructed a category of vector bundles on X, called essentially finite vector bundles, which is reminiscent of the category of representations of the fundamental ...
Indranil Biswas   +2 more
core   +5 more sources

Isomorphism of Compactifications of Vector Bundles Moduli: Nonreduced Moduli

open access: yesМоделирование и анализ информационных систем, 2015
We continue the study of the compactification of the moduli scheme for Gieseker-semistable vector bundles on a nonsingular irreducible projective algebraic surface S with polarization L, by locally free sheaves.
N. V. Timofeeva
doaj   +1 more source

On families of rank-2 uniform bundles on Hirzebruch surfaces and Hilbert schemes of their scrolls [PDF]

open access: yes, 2015
Several families of rank-two vector bundles on Hirzebruch surfaces are shown to consist of all very ample, uniform bundles. Under suitable numerical assumptions, the projectivization of these bundles, embedded by their tautological line bundles as linear
Besana, Gian Mario   +2 more
core   +5 more sources

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