The Full Flag Hilbert Scheme of Nodal Curves and the Punctual Hilbert Scheme of Points of the Cusp Curve.
نویسنده
چکیده
We study the relative full-flag Hilbert scheme of a family of curves, parameterizing chains of subschemes, containing a node. We will prove that the relative full flag Hilbert scheme is normal with locally complete intersection singularities. We also study the Hilbert scheme of points of the cusp curve and show the punctual Hilbert scheme is isomorphic to P. We will see the Hilbert scheme has only one singularty along the punctual one.
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