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On the Invariant Hilbert schemes and Luna’s étale slice theorem

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In this paper, we study local structures of invariant Hilbert schemes with Luna’s étale slice theorem. We prove that in some cases the invariant Hilbert schemes are smooth at a point which corresponds to a closed orbit.

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Authors and Affiliations

  1. Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Tokyo, 153-8914, Japan

    Yohsuke Matsuzawa

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  1. Yohsuke Matsuzawa
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Correspondence to Yohsuke Matsuzawa.

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Matsuzawa, Y. On the Invariant Hilbert schemes and Luna’s étale slice theorem. manuscripta math. 156, 329–340 (2018). https://doi.org/10.1007/s00229-017-0973-0

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  • DOI: https://doi.org/10.1007/s00229-017-0973-0

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