The locus of points of the Hilbert scheme with bounded regularity

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

In this paper we consider the Hilbert scheme Hilb_{p(t)}^n parameterizing
subschemes of P^n with Hilbert polynomial $p(t)$ and we investigate its locus
containing points corresponding to schemes with regularity lower than or equal
to a fixed integer r'. This locus is an open subscheme of Hilb_{p(t)}^n and we
describe a set of defining equations.

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