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

Autor:	Brinzanescu, Vasile, Halanay, Andrei D., Trautmann, Günther
Rok vydání:	2010
Předmět:	Mathematics - Complex Variables Mathematics - Algebraic Geometry Mathematics - Algebraic Topology 32G13 32Q25 18E30 14J60
Zdroj:	Annales de l'Institut Fourier 63 no.3(2013), pp.1033-1054
Druh dokumentu:	Working Paper
Popis:	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. Comment: To appear in Annales de l'Institut Fourier
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1008.3365 Zobrazit plný text záznamu View this record from Arxiv