Global nilpotent cones for twisted GL_r-Hitchin fibrations on curves and for moduli of 1D sheaves on K3 and other surfaces are nowhere reduced, with a criterion for primitive homology in Beauville-Mukai systems on K3 surfaces.
Multiply marked Riemann surface and the Kobayashi pseudometric on algebraic manifolds, Preprint 2001
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Non-reduced components of global nilpotent cones
Global nilpotent cones for twisted GL_r-Hitchin fibrations on curves and for moduli of 1D sheaves on K3 and other surfaces are nowhere reduced, with a criterion for primitive homology in Beauville-Mukai systems on K3 surfaces.