Results 11 to 20 of about 223,260 (263)

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 ...
openaire   +2 more sources

On the Variety of Paths on Complete Intersections in Grassmannians

Моделирование и анализ информационных систем, 2014
In this article we study the Fano variety of lines on the complete intersection of the grassmannian G(n, 2n) with hypersurfaces of degrees d1 ..., di . A length l path on such a variety is a connected curve composed of l lines.
S. M. Yermakova
doaj   +1 more source

Totally Geodesic Submanifolds in Tangent Bundle with g - natural Metric [PDF]

, 2013
In the paper we investigate submanifolds in a tangent bundle endowed with g-natural metric G, defined by a vector field on a base manifold. We give a sufficient condition for a vector field on M to defined totally geodesic submanifold in (TM,G).
Ewert-Krzemieniewski, Stanisław
core   +1 more source

Determinants of Laplacians on discretizations of flat surfaces and analytic torsion

Comptes Rendus. Mathématique, 2020
We study the asymptotic expansion of the determinants of the graph Laplacians associated to discretizations of a half-translation surface endowed with a unitary flat vector bundle. By doing so, over the discretizations, we relate the asymptotic expansion
Finski, Siarhei
doaj   +1 more source

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

, 2010
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 $a_{1,1}=...=a_{r,s}=0$ is trivial and every rank $r>2$ uniform vector bundle ...
Ballico, Edoardo, Malaspina, Francesco
core   +3 more sources

p-Buchsbaum rank 2 bundles on the projective space [PDF]

, 2014
It has been proved by various authors that a normalized, 1-Buchsbaum rank 2 vector bundle on P3 is a nullcorrelation bundle, while a normalized, 2-Buchsbaum rank 2 vector bundle on P3 is an instanton bundle of charge 2.
Jardim, Marcos, Marchesi, Simone
core   +3 more sources

Dirac Structures on Banach Lie Algebroids

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In the original definition due to A. Weinstein and T. Courant a Dirac structure is a subbundle of the big tangent bundle T M ⊕ T* M that is equal to its ortho-complement with respect to the so-called neutral metric on the big tangent bundle.
Vulcu Vlad-Augustin
doaj   +1 more source

Structure theorem for Jordan algebra bundles [PDF]

Arab Journal of Mathematical Sciences
Purpose – The aims of this paper is to prove that every semisimple Jordan algebra bundle is locally trivial and establish the decomposition theorem for locally trivial Jordan algebra bundles using the decomposition theorem of Lie algebra bundles.
Ranjitha Kumar
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

A Method of the Riemann–Hilbert Problem for Zhang’s Conjecture 2 in a Ferromagnetic 3D Ising Model: Topological Phases

Mathematics, 2021
A method of the Riemann–Hilbert problem is employed for Zhang’s conjecture 2 proposed in Philo. Mag. 87 (2007) 5309 for a ferromagnetic three-dimensional (3D) Ising model in a zero external magnetic field.
Zhidong Zhang, Osamu Suzuki
doaj   +1 more source