On the invariant Hilbert schemes and Luna's étale slice theorem

DOI10.1007/s00229-017-0973-0zbMath1400.14124arXiv1504.06806OpenAlexW2756151351MaRDI QIDQ1649365

Yohsuke Matsuzawa

Publication date: 5 July 2018

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06806

zbMATH Keywords

invariant Hilbert schemeLuna's étale slice theoremsmoothness criterion

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Parametrization (Chow and Hilbert schemes) (14C05)

Cites Work

• Invariant Hilbert schemes and desingularizations of quotients by classical groups
• On the Gorenstein locus of some punctual Hilbert schemes
• Invariant Hilbert schemes and desingularizations of symplectic reductions for classical groups
• Smooth and irreducible multigraded Hilbert schemes
• Invariant deformation theory of affine schemes with reductive group action
• Invariant Hilbert schemes
• Fixed Point Schemes
• Moduli of affine schemes with reductive group action
• Algebraic Families on an Algebraic Surface
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