Weak equivalence classes of complex vector bundles.

Lê, Hông-Vân

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Holomorphic vector bundles on $ℙ_{n}$

Michael Schneider (1978-1979)

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Monopoles and modifications of bundles over elliptic curves.

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Various structures in 8-dimensional vector bundles over 8-manifolds

Martin Čadek, Jiří Vanžura (1998)

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The paper is an overview of our results concerning the existence of various structures, especially complex and quaternionic, in 8-dimensional vector bundles over closed connected smooth 8-manifolds.

Bounds for Chern classes of semistable vector bundles on complex projective spaces

Wiera Dobrowolska (1993)

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This work concerns bounds for Chern classes of holomorphic semistable and stable vector bundles on $ℙ^{n}$ . Non-negative polynomials in Chern classes are constructed for 4-vector bundles on $ℙ^{4}$ and a generalization of the presented method to r-bundles on $ℙ^{n}$ is given. At the end of this paper the construction of bundles from complete intersection is introduced to see how rough the estimates we obtain are.

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Bakuradze, M. (1998)

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Holomorphic structures and connections on differentiable fibre bundles.

Izu Vaisman (1988)

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On complete intersections

Franc Forstnerič (2001)

Annales de l’institut Fourier

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We construct closed complex submanifolds of $ℂ^{n}$ which are differential but not holomorphic complete intersections. We also prove a homotopy principle concerning the removal of intersections with certain complex subvarieties of $ℂ^{n}$ .

Vector bundles on manifolds without divisors and a theorem on deformations

Georges Elencwajg, O. Forster (1982)

Annales de l'institut Fourier

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We study holomorphic vector bundles on non-algebraic compact manifolds, especially on tori. We exhibit phenomena which cannot occur in the algebraic case, e.g. the existence of 2-bundles that cannot be obtained as extensions of a sheaf of ideals by a line bundle. We prove some general theorems in deformations theory of bundles, which is our main tool.