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Limiting configurations for solutions of Hitchin’s equation

Rafe MazzeoJan SwobodaHartmut WeißFrederik Witt

Séminaire de théorie spectrale et géométrie

We review recent work on the compactification of the moduli space of Hitchin’s self-duality equation. We study the degeneration behavior near the ends of this moduli space in a set of generic directions by showing how limiting configurations can be desingularized. Following ideas of Hitchin, we can relate the top boundary stratum of this space of limiting configurations to a Prym variety. A key role is played by the family of rotationally symmetric solutions to the self-duality equation on , which...

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