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

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

2001-05-25

arxiv.org/abs/math/0105213v2

Mathematics

Algebraic Geometry

substantially revised, 19 pages

Scientific paper

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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