Stable bundles on non-Kahler elliptic surfaces

2003/06/11 by Vasile Brinzanescu, Brinzanescu, Vasile, Ruxandra Moraru +1 · 2 citations
Mathematics · #14D21 #14D22 #14F05 #14H70 #14J27 #14J60 #32G13 #32J15 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #math.AG #math.CV #msc:14D21 #msc:14D22 #msc:14F05 #msc:14H70 #msc:14J27 #msc:14J60 #msc:32G13 #msc:32J15

paper · pdf · doi:10.48550/arxiv.math/0306192

15 pages, shortened version, small corrections were made

arxiv created 2003/09/02 · arxiv updated 2009/11/30

Abstract

In this paper, we study the moduli spaces M_δ,c2 of stable rank-2 vector bundles on non-K" ahler elliptic surfaces, thus giving a classification these bundles; in the case of Hopf and Kodaira surfaces, these moduli spaces admit the structure of an algebraically completely integrable Hamiltonian system.

Cited by

• Irregular bundles on Hopf surfaces
• Connected moduli of instantons on S³× S¹

Related

• Stable bundles on Hopf manifolds
• Some notes on the moduli of stable sheaves on elliptic surfaces
• Disconnected moduli spaces of stable bundles on surfaces
• Stable vector bundles on algebraic surfaces
• Rigid holomorphic rank 2 vector bundles on non-Kähler surfaces