Results 11 to 20 of about 36,303 (306)

Lifting vector bundles to Witt vector bundles

open access: yesIsrael Journal of Mathematics, 2022
Let $X$ be a scheme. Let $r \geq 2$ be an integer. Denote by $W_r(X)$ the scheme of Witt vectors of length $r$, built out of $X$. We are concerned with the question of extending (=lifting) vector bundles on $X$, to vector bundles on $W_r(X)$-promoting a systematic use of Witt modules and Witt vector bundles. To begin with, we investigate two elementary
De Clercq, Charles   +2 more
openaire   +3 more sources

Holomorphic vector bundles on holomorphically convex surface

open access: yesLe Matematiche, 2000
Here we study holomorphic vector bundles on a two-dimensional holomorphically convex complex manifold Y . We present some characterizations of Y under which torsion free sheaves are filtrable.
Edoardo Ballico, Elizabeth Gasparim
doaj   +1 more source

On Poincaré bundles of vector bundles on curves [PDF]

open access: yesmanuscripta mathematica, 2005
8 ...
Lange, H., Newstead, P. E.
openaire   +2 more sources

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

A NOTE ON SUB-BUNDLES OF VECTOR BUNDLES [PDF]

open access: yesGlasgow Mathematical Journal, 2006
4 pages, various ...
Crawley-Boevey, William   +1 more
openaire   +2 more sources

Weakly uniform rank two vector bundles on multiprojective spaces [PDF]

open access: yes, 2011
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 a1,1=⋯=ar,s=0 is trivial and every rank r>2 uniform vector bundle with ...
Malaspina, Francesco   +5 more
core   +1 more source

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 THE STRATIFIED VECTOR BUNDLES [PDF]

open access: yesInternational 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.
openaire   +2 more sources

Chern classes of automorphic vector bundles, II [PDF]

open access: yesÉpijournal 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

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