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Vertical components and flatness of Nash mappings

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Publication:1877751
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DOI10.1016/j.jpaa.2004.02.009zbMath1054.32004OpenAlexW2144347092MaRDI QIDQ1877751

Janusz Adamus

Publication date: 19 August 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.02.009


zbMATH Keywords

flatnessNash mapsNash germsvertical components


Mathematics Subject Classification ID

Real-analytic sets, complex Nash functions (32C07) Injective and flat modules and ideals in commutative rings (13C11)


Related Items (2)

PBW-deformation theory and regular central extensions ⋮ Flatness testing and torsion freeness of analytic tensor powers



Cites Work

  • Modules over unramified regular local rings
  • On Gabrielov's regularity condition for analytic mappings
  • Flatness and fibred powers
  • Flatness testing and torsionfree morphisms
  • Vertical components in fibre powers of analytic spaces.
  • Flatness and fibred powers over smooth varieties
  • On the vanishing of Tor in regular local rings
  • Natural bound in Kwiecinski’s criterion for flatness
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