The fat locus of Hilbert schemes of points

Author:
Marc Coppens

Journal:
Proc. Amer. Math. Soc. **118** (1993), 777-783

MSC:
Primary 14C05; Secondary 14E40

MathSciNet review:
1145416

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Abstract: Let be a smooth projective variety over an algebraically closed field . Let be its Hilbert scheme of 0-dimensional subschemes of of degree . Let be the set of -rational points. We prove that the subset of points of corresponding to fat points on is a locally closed subset with respect to the Zariski topology.

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1993-1145416-X

Article copyright:
© Copyright 1993
American Mathematical Society