Good Hilbert functors

Abstract

We introduce the good Hilbert functor and prove that it is algebraic. This functor generalizes various versions of the Hilbert moduli problem, such as the multigraded Hilbert scheme and the invariant Hilbert scheme. Moreover, we generalize a result concerning formal GAGA for good moduli spaces.

16 pages

References in corpus (1)

• A Luna étale slice theorem for algebraic stacks