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Showing 1 to 4 of 4 for “"Higgs bundle"”.
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Moduli Questions for Augmented Bundles
… we construct the moduli scheme for principal bundles over an arbitrary projective scheme. In the second, we establish a bijective correspondence between the analytic master space and the algebraic master space for Bradlow pairs. We also consider the master stack for Bradlow pairs, and show …
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Holomorphic chains on the projective line
… on a smooth algebraic curve are tuples of vector bundles on the curve together with the homomorphisms between them. A type of a holomorphic chain is a tuple t of integers consisting of the ranks and degrees of the underlying vector bundles. The definition of holomorphic chains was introduced and …
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Limiting Properties of Certain Geometric Flows in Complex Geometry
… of certain non-linear geometric flows on vector bundles over complex manifolds. First we consider the case of a semi-stable vector bundle E over a compact Kahler manifold X of arbitrary dimension. We show that in this case Donaldson's functional is bounded from below. This allows us to construct …
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Geometry of the Hitchin Morphism and Spectral Correspondences
… examples of cyclic twisted pairs and co-Higgs bundles on the same curve. Afterwards, by appealing to a composite push-pull projection formula, we conjecture an iterated version of spectral correspondence. We prove this conjecture for a particular class of spectral covers of the complex …