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On the geometry of the Hilbert schemes of points in the projective plane

Wei-ping Li·Zhenbo Qin·Qi Zhang
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Abstract

We classify minimal-degree curves in the Hilbert schemes of points on algebraic surfaces. When the algebraic surface is the projective plane, the nef cone and a flip structure of these Hilbert schemes are determined.

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Wei-ping Li, Zhenbo Qin, Qi Zhang. 2001-11-15. On the geometry of the Hilbert schemes of points in the projective plane. https://arxiv.org/abs/math/0105213

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