Double covers and vector bundles.
Holomorphic structures in vector bundles over complex surfaces.
The Picard group of a primary Kodaira surface.
Neron-Severi group for nonalgebraic elliptic surfaces II: non-kählerian case.
Neron-Severi group for nonalgebraic elliptic surfaces I. Elliptic bundle case.
Hilbert-Samuel Polynomials of a Proper Morphism.
Holomorphic 2-vector bundles on nonalgebraic 2-tori.
Holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces
In this paper, we consider the problem of determining which topological complex rank-2 vector bundles on non-Kähler elliptic surfaces admit holomorphic structures; in particular, we give necessary and sufficient conditions for the existence of holomorphic rank-2 vector bundles on non-{Kä}hler elliptic surfaces.
Rank-two vector bundles on Hirzebruch surfaces
We survey some parts of the vast literature on vector bundles on Hirzebruch surfaces, focusing on the rank-two case.
Vector bundles on non-Kaehler elliptic principal bundles
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.
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