Vector Bundles on non-Kähler elliptic principal bundles

Details Vector Bundles on non-Kähler elliptic principal bundles Vector Bundles on non-Kähler elliptic principal bundles

2010-08-19

arxiv.org/abs/1008.3365v6

Mathematics

Complex Variables

Changed the order of the sections and removed some unnecessary assumptions

Scientific paper

We study relatively semi-stable vector bundles and their moduli on non-K\"ahler 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-K\"ahler elliptic principal bundle over a primary Kodaira surface are computed.

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