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Two-dimensional moduli spaces of vector bundles over Kodaira surfaces. (English) Zbl 1251.32012

Summary: We prove that any two-dimensional moduli space of stable \(2\)-vector bundles, in the non-filtrable range, on a primary Kodaira surface is a primary Kodaira surface. If a universal bundle exists, then the two surfaces are homeomorphic up to unramified covers.

MSC:

32G13 Complex-analytic moduli problems
32J15 Compact complex surfaces
32L05 Holomorphic bundles and generalizations

References:

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