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Irreducible components of the Hilbert scheme of points on non-reduced curves
Student-Run Research Seminar| Speaker: | Yuze Luan, UC Davis |
| Location: | 3106 Mathematical Science Building |
| Start time: | Wed, Oct 11 2023, 11:00AM |
We classify the irreducible components of the Hilbert scheme of n points on non-reduced algebraic plane curves, and give a formula for the multiplicities of the irreducible components. The irreducible components are indexed by partitions of $n$; all have dimension $n$; and their multiplicities are given as a polynomial of the parts of the corresponding partitions..
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