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Finite determinacy and approximation of flat maps

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 نشر من قبل Aftab Patel
 تاريخ النشر 2021
  مجال البحث
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 تأليف Aftab Patel




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We show that the property of flatness of maps from germs of real or complex analytic spaces whose local rings are Cohen-Macaulay is finitely determined. Further, we also show the existence of Nash approximations to flat maps from such germs that preserve the Hilbert-Samuel function of the special fibre.

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