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SOME COMBINATORICS OF BINOMIAL COEFFICIENTS AND THE BLOCHGIESEKER PROPERTY FOR SOME HOMOGENEOUS BUNDLES
, 2001
"... Abstract. A vector bundle has the BlochGieseker property if all its Chern classes are numerically positive. In this paper we show that the nonample bundle pPn (p+ 1) has the BlochGieseker 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 BlochGieseker property if all its Chern classes are numerically positive. In this paper we show that the nonample bundle pPn (p+ 1) has the BlochGieseker 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
"... Abstract. R. Miron ([3]) by means of the Sasaki lift ◦ G introduced a new lift G which is 0homogeneous 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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Cited by 1 (1 self)
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Abstract. R. Miron ([3]) by means of the Sasaki lift ◦ G introduced a new lift G which is 0homogeneous 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
 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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Cited by 16 (8 self)
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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 BorelWeil theorem are established. 1
A Unified 3D Homogenization Model of Beam Bundle in Fluid
"... A 3D 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 3D 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
, 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
 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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Cited by 4 (0 self)
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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
, 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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Cited by 14 (1 self)
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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
, 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
, 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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Cited by 7 (0 self)
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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
, 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
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94