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arXiv · 1910.11498

Equisingular algebraic approximation of real and complex analytic germs

Janusz Adamus·Aftab Patel
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Abstract

We show that a Cohen-Macaulay analytic singularity can be arbitrarily closely approximated by germs of Nash sets which are also Cohen-Macaulay and share the same Hilbert-Samuel function. We also prove that every analytic singularity is topologically equivalent to a Nash singularity with the same Hilbert-Samuel function.

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Janusz Adamus, Aftab Patel. 2019-10-25. Equisingular algebraic approximation of real and complex analytic germs. https://arxiv.org/abs/1910.11498

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