Representability of Hilbert schemes and Hilbert stacks of points

Details Representability of Hilbert schemes and Hilbert stacks of points Representability of Hilbert schemes and Hilbert stacks of points

2008-02-26

arxiv.org/abs/0802.3807v1

Mathematics

Algebraic Geometry

11 pages

Scientific paper

We show that the Hilbert functor of points on an arbitrary separated
algebraic space is representable. We also show that the Hilbert stack of points
on an arbitrary algebraic space or an arbitrary algebraic stack is algebraic.

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