Results 21 to 30 of about 43,628 (311)
Stable Higgs bundles over positive principal elliptic fibrations
Complex Manifolds, 2018 Let M be a compact complex manifold of dimension at least three and Π : M → X a positive principal elliptic fibration, where X is a compact Kähler orbifold. Fix a preferred Hermitian metric on M.
Biswas Indranil +2 more
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Structure theorem for Jordan algebra bundles [PDF]
Arab Journal of Mathematical SciencesPurpose – 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
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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
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Vector Bundles and F Theory [PDF]
Communications in Mathematical Physics, 1997 93 pp., harvmac. Section 4.4 has been extended with additional Comments relating F theory intermediate Jacobians to heterotic string ...
Friedman, Robert +2 more
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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
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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
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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
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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
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Stable rationality of higher dimensional conic bundles [PDF]
Épijournal 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
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Lifting vector bundles to Witt vector bundles
Israel Journal of MathematicsLet $X$ 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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