Vector Bundles on non-K\"ahler elliptic principal bundles

Vasile Brinzanescu; Andrei D. Halanay; Günther Trautmann

Vector Bundles on non-K\"ahler elliptic principal bundles

Complex Variables 2013-10-02 v7 Algebraic Geometry Algebraic Topology

Authors: Vasile Brinzanescu , Andrei D. Halanay , Günther Trautmann

Abstract

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.

Keywords

vector bundles non-Kähler manifolds elliptic principal bundles semi-stability moduli spaces twisted Fourier-Mukai transform spectral cover Kodaira surface

Cite

@article{arxiv.1008.3365,
  title  = {Vector Bundles on non-K\"ahler elliptic principal bundles},
  author = {Vasile Brinzanescu and Andrei D. Halanay and Günther Trautmann},
  journal= {arXiv preprint arXiv:1008.3365},
  year   = {2013}
}

Comments

To appear in Annales de l'Institut Fourier

Vector Bundles on non-K\"ahler elliptic principal bundles

Abstract

Keywords

Cite

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