Displaying similar documents to “Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper Kähler morphisms.”

Vector bundles on non-Kaehler elliptic principal bundles

Vasile Brînzănescu, Andrei D. Halanay, Günther Trautmann (2013)

Annales de l’institut Fourier

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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.