Geodesic
Equisingular algebraic approximation of real and complex analytic germs
Journal of Singularities, Tome 20 (2020), pp. 289-310

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We show that a Cohen-Macaulay analytic singularity can be arbitrarily closely approximated by Nash germs 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.
DOI : 10.5427/jsing.2020.20n
Classification : 32S05, 32S10, 32B99, 32C07, 14P15, 14P20, 13H10, 13C14 
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     author = {Janusz Adamus and Aftab Patel},
     title = {Equisingular algebraic approximation of real and complex analytic germs},
     journal = {Journal of Singularities},
     pages = {289--310},
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     year = {2020},
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Janusz Adamus; Aftab Patel. Equisingular algebraic approximation of real and complex analytic germs. Journal of Singularities, Tome 20 (2020), pp. 289-310. doi: 10.5427/jsing.2020.20n

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