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Svetlana Ermakova (2015)
Complex Manifolds
In this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem.We prove that a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is isomorphic to a direct sum of line bundles.
Georges Elencwajg, O. Forster (1982)
Annales de l'institut Fourier
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.
Vasile Brînzănescu, Andrei D. Halanay, Günther Trautmann (2013)
Annales de l’institut Fourier
We study relatively semi-stable vector bundles and their moduli on non-Kähler principal elliptic bundles over compact complex manifolds of arbitrary dimension. The main technical tools used are the twisted Fourier-Mukai transform and a spectral cover construction. For the important example of such principal bundles, the numerical invariants of a 3-dimensional non-Kähler elliptic principal bundle over a primary Kodaira surface are computed.
M.F. Atiyah, E. Rees (1976)
Inventiones mathematicae
Vuletescu, Victor (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
James Carrell (1996)
Banach Center Publications
Hans Grauert, Gerhard Mülich (1975)
Manuscripta mathematica
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