Degenerations of moduli of stable bundles over algebraic curves
Huashi Xia (1995)
Compositio Mathematica
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Huashi Xia (1995)
Compositio Mathematica
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Michael Schneider (1978-1979)
Séminaire Bourbaki
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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.
Ballico, E. (2001)
Rendiconti del Seminario Matematico
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Wiera Dobrowolska (1993)
Colloquium Mathematicae
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This work concerns bounds for Chern classes of holomorphic semistable and stable vector bundles on . Non-negative polynomials in Chern classes are constructed for 4-vector bundles on and a generalization of the presented method to r-bundles on 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.
Edoardo Ballico, Francesco Malaspina, Paolo Valabrega, Mario Valenzano (2012)
Open Mathematics
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Let E be an indecomposable rank two vector bundle on the projective space ℙn, n ≥ 3, over an algebraically closed field of characteristic zero. It is well known that E is arithmetically Buchsbaum if and only if n = 3 and E is a null-correlation bundle. In the present paper we establish an analogous result for rank two indecomposable arithmetically Buchsbaum vector bundles on the smooth quadric hypersurface Q n ⊂ ℙn+1, n ≥ 3. We give in fact a full classification and prove that n must...
Edoardo Ballico (1998)
Collectanea Mathematica
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Let C be an elliptic curve and E, F polystable vector bundles on C such that no two among the indecomposable factors of E + F are isomorphic. Here we give a complete classification of such pairs (E,F) such that E is a subbundle of F.
Ballico, E. (2001)
Rendiconti del Seminario Matematico
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Robin Hartshorne (1966)
Publications Mathématiques de l'IHÉS
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