Vector bundles on non-Kaehler elliptic principal bundles
Copyright policy )Vector bundles on non-Kaehler elliptic principal bundles
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.
- Max Planck Society Germany
Compact complex surfaces, Mathematics - Complex Variables, non-Kähler principal elliptic bundles, holomorphic vector bundles, Mathematics - Algebraic Geometry, Holomorphic bundles and generalizations, 32G13, 32Q25, 18E30, 14J60, FOS: Mathematics, moduli spaces, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Complex Variables (math.CV), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Calabi-Yau type threefolds, Algebraic Geometry (math.AG)
Compact complex surfaces, Mathematics - Complex Variables, non-Kähler principal elliptic bundles, holomorphic vector bundles, Mathematics - Algebraic Geometry, Holomorphic bundles and generalizations, 32G13, 32Q25, 18E30, 14J60, FOS: Mathematics, moduli spaces, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Complex Variables (math.CV), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Calabi-Yau type threefolds, Algebraic Geometry (math.AG)
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