Results 41 to 50 of about 43,636 (311)

On the Variety of Paths on Complete Intersections in Grassmannians

open access: yesМоделирование 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

Determinants of Laplacians on discretizations of flat surfaces and analytic torsion

open access: yesComptes 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

Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms [PDF]

open access: yes, 2018
We introduce the concept of a higher algebroid, generalizing the notions of an algebroid and a higher tangent bundle. Our ideas are based on a description of (Lie) algebroids as vector bundle comorphisms - differential relations of a special kind. In our
Jóźwikowski M., Rotkiewicz M.
core   +2 more sources

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

open access: yesMathematics, 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

The spectrum of vector bundle flows with invariant subbundles [PDF]

open access: yes, 1981
A vector bundle flow ( Φ t , ϕ t ) ({\Phi ^t},{\phi ^t}) on the vector bundle E E over a ...
R. C. Swanson
core   +1 more source

Stable rationality of higher dimensional conic bundles [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2018
We prove that a very general nonsingular conic bundle $X\rightarrow\mathbb{P}^{n-1}$ embedded in a projective vector bundle of rank $3$ over $\mathbb{P}^{n-1}$ is not stably rational if the anti-canonical divisor of $X$ is not ample and $n\geq 3$.
Hamid Ahmadinezhad, Takuzo Okada
doaj   +1 more source

Vector bundles [PDF]

open access: yes, 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
openaire   +2 more sources

Lifting vector bundles to Witt vector bundles

open access: yesIsrael Journal of Mathematics
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   +2 more sources

Uniformity of Vector Bundles of Finite Rank on Complete Intersections of Finite Codimension in a Linear ind-Grassmannian

open access: yesМоделирование и анализ информационных систем, 2015
A linear projective ind-variety X is called 1-connected if any two points on it can be connected by a chain of lines l1, l2, ..., lk in X, such that li intersects li+1.
S. M. Yermakova
doaj   +1 more source

Prolongations of affine connection and horizontal vectors

open access: yesДифференциальная геометрия многообразий фигур, 2020
The linear frame bundle over a smooth manifold is considered. The mapping dе defined by the differentials of the first-order frame e is a lift to the normal N, i.
K.V. Polyakova
doaj   +1 more source

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