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- W4287816772 abstract "We relate the moduli space of analytic equivalent germs of reduced quasi-homogeneous functions at $(mathbb{C}^2,0)$ with their bi-Lipschitz equivalence classes. We show that any non-degenerate continuous family of (reduced) quasi-homogeneous functions with constant Henry-Parusi'nski invariant is analytically trivial. Further we show that there are only a finite number of distinct bi-Lipschitz classes among quasi-homogeneous functions with the same Henry-Parusi'nski invariant providing a maximum quota for this number." @default.
- W4287816772 created "2022-07-26" @default.
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- W4287816772 date "2020-04-07" @default.
- W4287816772 modified "2023-09-25" @default.
- W4287816772 title "On the moduli space of quasi-homogeneous functions" @default.
- W4287816772 doi "https://doi.org/10.48550/arxiv.2004.03778" @default.
- W4287816772 hasPublicationYear "2020" @default.
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