Results 251 to 260 of about 3,784,223 (275)
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Nef vector bundles on a projective space with first Chern class three
Rendiconti del Circolo Matematico di Palermo Series 2, 2016We classify nef vector bundles on a projective space with first Chern class three over an algebraically closed field of characteristic zero; we see, in particular, that these nef vector bundles are globally generated if the second Chern class is less ...
M. Ohno
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Chern Classes of Representations
Bulletin of the London Mathematical Society, 1986For any G-module A of the group G, we have the Eilenberg-MacLane cohomology groups \(H^*(G,A)\). In general, they are quite difficult to compute. When A is the G-trivial module \({\mathbb{Z}}\), \(H^*(G,{\mathbb{Z}})\) becomes a ring, it is possible to get some information on \(H^*(G,{\mathbb{Z}})\) through the complex representation theory of G ...
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Chern Class Identities from Tadpole Matching in Type IIB and F-Theory
, 2007In light of Sen's weak coupling limit of F-theory as a type IIB orientifold, the compatibility of the tadpole conditions leads to a non-trivial identity relating the Euler characteristics of an elliptically fibered Calabi-Yau fourfold and of certain ...
P. Aluffi, M. Esole
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Mathematical Proceedings of the Cambridge Philosophical Society, 1960
The behaviour of the Chern classes or of the canonical classes of an algebraic variety under a dilatation has been studied by several authors (Todd (8)–(11), Segre (5), van de Ven (12)). This problem is of interest since a dilatation is the simplest form of birational transformation which does not preserve the underlying topological structure of the ...
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The behaviour of the Chern classes or of the canonical classes of an algebraic variety under a dilatation has been studied by several authors (Todd (8)–(11), Segre (5), van de Ven (12)). This problem is of interest since a dilatation is the simplest form of birational transformation which does not preserve the underlying topological structure of the ...
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Pseudo-Chern Classes and Opposite Chern Classes of Indefinite Almost Hermitian Manifolds
Acta Mathematica Hungarica, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bonome, Agustín +4 more
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CHERN CLASSES OF AMPLE BUNDLES
Mathematics of the USSR-Sbornik, 1971In the article "Ample vector bundles", Inst. Hautes Etudes Sci.Publ. Math. no. 29 (1966), 63-94, R. Hartshorne has extended the notion of ample vector bundle to vector bundles of arbitrary rank and has raised the following question. Let be an ample vector bundle over a nonsingular algebraic variety and assume that the rank of is equal to .
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The Annals of Mathematics, 1959
In this paper, we wish to study the problem of classifying all complex n-plane bundles over CW-complexes M, or equivalently, of classifying (topologically) all principal fibre bundles over M with structural group the unitary group U(n). It is well-known [6] that this set of equivalence classes is in one-to-one correspondence with the set of homotopy ...
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In this paper, we wish to study the problem of classifying all complex n-plane bundles over CW-complexes M, or equivalently, of classifying (topologically) all principal fibre bundles over M with structural group the unitary group U(n). It is well-known [6] that this set of equivalence classes is in one-to-one correspondence with the set of homotopy ...
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Chern Classes and Stiefel-Whitney Classes
1966We consider Chern classes, Stiefel-Whitney classes, and the Euler class from an axiomatic point of view. The uniqueness of the classes follows from the splitting principle, and the existence is derived using the bundle of projective spaces associated with a vector bundle and the Leray-Hirsch theorem. These results could be obtained by using obstruction
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