Results 31 to 40 of about 330,065 (353)
Bulletin des Sciences Mathématiques, 2008 AbstractLet G be a simply connected linear algebraic group, defined over the field of complex numbers, whose Lie algebra is simple. Let P be a proper parabolic subgroup of G. Let E be a holomorphic vector bundle over G/P such that E admits a homogeneous structure. Assume that E is not stable.
Smitha Subramanian, Indranil Biswas
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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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Differential geometry of collective models
AIMS Mathematics, 2019 The classical astrophysical theory of Riemann ellipsoids and the quantum nuclear theory of Bohr and Mottelson share a common mathematical foundation in terms of the differential geometry of a principal bundle ${\cal P}$ and its associated vector bundle E,
George Rosensteel
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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
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First and second cohomology group of a bu ndle
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 Let (E, π, M) be a vector bundle. We define two cohomology groups associated to π using the first and second order jet manifolds of this bundle. We prove that one of them is isomorphic with a Čech cohomology group of the base space.
Manea Adelina
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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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Lifting vector bundles to Witt vector bundles
, 2018 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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Journal of Physics: Conference Series, 2011 We review the basic aspects of the theory of smooth super vector bundles. In particular we give the precise link existing between the geometrical and the sheaf theoretical approaches.
L. Balduzzi +2 more
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Vector bundles and blowups [PDF]
, 2017 Let X be a nonsingular quasi-projective complex algebraic variety and let E be an algebraic vector bundle on X of rank r ≥ 2. The pullback of E by the blowup of X at a suitably chosen nonsingular subvariety of X of codimension r contains a line subbundle that can be explicitly described.
Jelonek, Zbigniew +2 more
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Mathematische Zeitschrift, 2018 47 pages, 2 Tables with caption. Key words: Topological insulators, Bloch-bundles, chiral vector bundles, chiral symmetry, odd Chern classes. In v2 several typos have been fixed.
De Nittis, Giuseppe, Gomi, Kiyonori
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