Results 41 to 50 of about 43,636 (311)
On the Variety of Paths on Complete Intersections in Grassmannians
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
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Determinants of Laplacians on discretizations of flat surfaces and analytic torsion
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
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Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms [PDF]
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.
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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
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The spectrum of vector bundle flows with invariant subbundles [PDF]
A vector bundle flow ( Φ t , ϕ t ) ({\Phi ^t},{\phi ^t}) on the vector bundle E E over a ...
R. C. Swanson
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Stable rationality of higher dimensional conic bundles [PDF]
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
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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
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Lifting vector bundles to Witt vector bundles
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
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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
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Prolongations of affine connection and horizontal vectors
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
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