Invariant Hilbert Schemes and Luna's Etale Slice Theorem

Abstract

Luna's etale slice theorem is a useful theorem for the local study of quotients by reductive algebraic groups. In this article, we show that the slice theorem can also be used to study local structures of invariant Hilbert schemes. By using this method, we show some results on smoothness of invariant Hilbert schemes at closed orbits.

References in corpus (2)

• Smooth and irreducible multigraded Hilbert schemes
• Invariant Hilbert schemes