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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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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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The first Chern class of the Verlinde bundles
, 2015A. Marian, D. Oprea, R. Pandharipande
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A spectral sequence and nef vector bundles of the first Chern class two on hyperquadrics
, 2014M. Ohno, Hiroyuki Terakawa
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On Calabi's conjecture for complex surfaces with positive first Chern class
, 1990G. Tian
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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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A cocycle for the symplectic first chern class and the maslov index
, 1984V. Turaev
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Second Chern class and Riemann-Roch for vector bundles on resolutions of surface singularities
, 1993J. Wahl
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