Results 1 - 10 of 94

SOME COMBINATORICS OF BINOMIAL COEFFICIENTS AND THE BLOCH-GIESEKER PROPERTY FOR SOME HOMOGENEOUS BUNDLES

by Mei-chu Chang , 2001
"... Abstract. A vector bundle has the Bloch-Gieseker property if all its Chern classes are numerically positive. In this paper we show that the non-ample bun-dle pPn (p+ 1) has the Bloch-Gieseker property, except for two cases, in which the top Chern classes are trivial and the other Chern classes are p ..."
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Abstract. A vector bundle has the Bloch-Gieseker property if all its Chern classes are numerically positive. In this paper we show that the non-ample bun-dle pPn (p+ 1) has the Bloch-Gieseker property, except for two cases, in which the top Chern classes are trivial and the other Chern classes

THE HOMOGENEOUS LIFT ∗ G ON THE COTANGENT BUNDLE

by Petre Stavre, Liviu Popescu
"... Abstract. R. Miron ([3]) by means of the Sasaki lift ◦ G introduced a new lift G which is 0-homogeneous on ˜T M = T M\{0}. Some geometrical properties are studied using the almost complex structure F which preserves the properties of homogenity. In this paper, we similary studied the case of the cot ..."
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Abstract. R. Miron ([3]) by means of the Sasaki lift ◦ G introduced a new lift G which is 0-homogeneous on ˜T M = T M\{0}. Some geometrical properties are studied using the almost complex structure F which preserves the properties of homogenity. In this paper, we similary studied the case

Geometry of quantum homogeneous vector bundles and representation theory of quantum groups

by A. R. Gover, R. B. Zhang - I”, Rev. Math. Phys , 1999
"... Quantum homogeneous vector bundles are introduced by a direct description of their sections in the context of Woronowicz type compact quantum groups. The bundles carry natural topologies inherited from the quantum groups, and their sections furnish projective modules over algebras of functions on qu ..."
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on quantum homogeneous spaces. Further properties of the quantum homogeneous vector bundles are investigated, and their applications to the representation theory of quantum groups are explored. In particular, quantum Frobenius reciprocity and a generalized Borel-Weil theorem are established. 1

A Unified 3-D Homogenization Model of Beam Bundle in Fluid

by R J Zhang
"... A 3-D homogenization model is developed to predict the overall dynamic property of a beam bundle immersed in an acoustic fluid. It is shown that the existing two models, given by Benner and Schumann (1981) and ..."
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A 3-D homogenization model is developed to predict the overall dynamic property of a beam bundle immersed in an acoustic fluid. It is shown that the existing two models, given by Benner and Schumann (1981) and

COMMENTS ON THE NONCOMMUTATIVE DIFFERENTIAL GEOMETRY OF QUANTUM HOMOGENEOUS VECTOR BUNDLES

by R. B. Zhang , 1998
"... Differential calculi are obtained for quantum homogeneous spaces by extending Woronowicz ’ approach to the present context. Representation theoretical properties of the differential calculi are investigated. Connections on quantum homogeneous vector bundles are classified and explicitly constructed ..."
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Differential calculi are obtained for quantum homogeneous spaces by extending Woronowicz ’ approach to the present context. Representation theoretical properties of the differential calculi are investigated. Connections on quantum homogeneous vector bundles are classified and explicitly constructed

Syzygy bundles on P 2 and the weak Lefschetz property

by Holger Brenner, Almar Kaid - Illinois J. Math
"... Abstract. Let K be an algebraically closed field of characteristic zero and let I = (f1,..., fn) be a homogeneous R+-primary ideal in R:= K[X, Y, Z]. If the corresponding syzygy bundle Syz(f1,..., fn) on the projective plane is semistable, we show that the Artinian algebra R/I has the Weak Lefschetz ..."
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Abstract. Let K be an algebraically closed field of characteristic zero and let I = (f1,..., fn) be a homogeneous R+-primary ideal in R:= K[X, Y, Z]. If the corresponding syzygy bundle Syz(f1,..., fn) on the projective plane is semistable, we show that the Artinian algebra R/I has the Weak

LOOKING OUT FOR STABLE SYZYGY BUNDLES

by Holger Brenner , 2005
"... With an appendix by Georg Hein: Semistability of the general syzygy bundle. Abstract. We study (slope-)stability properties of syzygy bundles on a projective space P N given by ideal generators of a homogeneous primary ideal. In particular we give a combinatorial criterion for a monomial ideal to ha ..."
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With an appendix by Georg Hein: Semistability of the general syzygy bundle. Abstract. We study (slope-)stability properties of syzygy bundles on a projective space P N given by ideal generators of a homogeneous primary ideal. In particular we give a combinatorial criterion for a monomial ideal

SOME PROPERTIES OF FANO MANIFOLDS THAT ARE ZEROES OF SECTIONS IN HOMOGENOUS VECTOR BUNDLES OVER GRASSMANNIANS

by Oliver Küchle , 1994
"... Abstract. Let X be a Fano manifold which is the zero scheme of a general global section s in an irreducible homogenous vector bundle over a Grassmannian. We prove that the restriction of the Plücker embedding embeds X projectively normal, and that every small deformation of X comes from a deformatio ..."
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Abstract. Let X be a Fano manifold which is the zero scheme of a general global section s in an irreducible homogenous vector bundle over a Grassmannian. We prove that the restriction of the Plücker embedding embeds X projectively normal, and that every small deformation of X comes from a

GEOMETRIC FORMALITY OF HOMOGENEOUS SPACES AND OF BIQUOTIENTS

by D. Kotschick, S. Terzić , 901
"... ABSTRACT. We provide examples of homogeneous spaces which are neither symmetric spaces nor real cohomology spheres, yet have the property that every invariant metric is geometrically formal. We also extend the known obstructions to geometric formality to some new classes of homogeneous spaces and of ..."
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ABSTRACT. We provide examples of homogeneous spaces which are neither symmetric spaces nor real cohomology spheres, yet have the property that every invariant metric is geometrically formal. We also extend the known obstructions to geometric formality to some new classes of homogeneous spaces

HIGGS BUNDLES AND HOLOMORPHIC FORMS

by Walter Seaman , 1998
"... Abstract. For a complex manifold X which has a holomorphic form ̟ of odd degree k> 1, we endow Ea = ⊕ p≥a Λ(p,0) (X) with a Higgs bundle sturcture θ given by θ(Z)(φ): = {i(Z)̟} ∧ φ. The properties such as curvature and stability of these and other Higgs bundles are examined. We prove (Theorem 2, ..."
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Abstract. For a complex manifold X which has a holomorphic form ̟ of odd degree k> 1, we endow Ea = ⊕ p≥a Λ(p,0) (X) with a Higgs bundle sturcture θ given by θ(Z)(φ): = {i(Z)̟} ∧ φ. The properties such as curvature and stability of these and other Higgs bundles are examined. We prove (Theorem 2
Results 1 - 10 of 94