A canonical degeneration of generalized Kummer varieties is obtained by closing the relative Kum inside the compactified relative Hilbert scheme of a degenerating abelian surface family, with the dual complex for n=2 being PL-homeomorphic to the 2-simplex.
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Degenerations of generalized Kummer varieties
A canonical degeneration of generalized Kummer varieties is obtained by closing the relative Kum inside the compactified relative Hilbert scheme of a degenerating abelian surface family, with the dual complex for n=2 being PL-homeomorphic to the 2-simplex.