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Seminario del 2025
Maggio
30
2025
pagina stampabile
Valeriano Lanza
Nested Hilbert schemes on Hirzerbruch surfaces and quiver varieties
algebra e geometria
For n greater or equal than 1 we show that the length 1 nested Hilbert scheme of the total space Xn of the line bundle OP1(-n), parameterizing pairs of nested 0-cycles in Xn, is a quiver variety associated with a suitable quiver with relations. This generalizes previous work about nested Hilbert schemes on C2 in one direction, and about the Hilbert schemes of points of Xn in another direction.
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