Vector bundles on non-Kaehler elliptic principal bundles

Vasile Brînzănescu[1]; Andrei D. Halanay[2]; Günther Trautmann[3]

  • [1] “Simion Stoilow” Institute of Mathematics of the Romanian Academy P.O.Box 1-764, 014700 Bucharest (Romania)
  • [2] University of Bucharest Faculty of Mathematics and Computer Science Str. Academiei 14 010014 Bucharest (Romania)
  • [3] Universität Kaiserslautern Fachbereich Mathematik Erwin-Schrödinger-Straße D-67663 Kaiserslautern (Allemagne)

Annales de l’institut Fourier (2013)

  • Volume: 63, Issue: 3, page 1033-1054
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Brînzănescu, Vasile, Halanay, Andrei D., and Trautmann, Günther. "Vector bundles on non-Kaehler elliptic principal bundles." Annales de l’institut Fourier 63.3 (2013): 1033-1054. <http://eudml.org/doc/275468>.

@article{Brînzănescu2013,
abstract = {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.},
affiliation = {“Simion Stoilow” Institute of Mathematics of the Romanian Academy P.O.Box 1-764, 014700 Bucharest (Romania); University of Bucharest Faculty of Mathematics and Computer Science Str. Academiei 14 010014 Bucharest (Romania); Universität Kaiserslautern Fachbereich Mathematik Erwin-Schrödinger-Straße D-67663 Kaiserslautern (Allemagne)},
author = {Brînzănescu, Vasile, Halanay, Andrei D., Trautmann, Günther},
journal = {Annales de l’institut Fourier},
keywords = {non-Kähler principal elliptic bundles; Calabi-Yau type threefolds; holomorphic vector bundles; moduli spaces},
language = {eng},
number = {3},
pages = {1033-1054},
publisher = {Association des Annales de l’institut Fourier},
title = {Vector bundles on non-Kaehler elliptic principal bundles},
url = {http://eudml.org/doc/275468},
volume = {63},
year = {2013},
}

TY - JOUR
AU - Brînzănescu, Vasile
AU - Halanay, Andrei D.
AU - Trautmann, Günther
TI - Vector bundles on non-Kaehler elliptic principal bundles
JO - Annales de l’institut Fourier
PY - 2013
PB - Association des Annales de l’institut Fourier
VL - 63
IS - 3
SP - 1033
EP - 1054
AB - 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.
LA - eng
KW - non-Kähler principal elliptic bundles; Calabi-Yau type threefolds; holomorphic vector bundles; moduli spaces
UR - http://eudml.org/doc/275468
ER -

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