Vertical components in fibre powers of analytic spaces.

DOI10.1016/j.jalgebra.2003.09.029zbMath1040.32005OpenAlexW2147433947MaRDI QIDQ1425101

Janusz Adamus

Publication date: 15 March 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.09.029

zbMATH Keywords

flatnessopennessgerms of analytic spacesunramified regular local ringalgebraic and geometric vertical componentsanalytic tensor powerfibre powers of mappingGabrielov regularity

Mathematics Subject Classification ID

Complex spaces (32C15)

Related Items (4)

Vertical components and flatness of Nash mappings ⋮ Flatness testing and torsion freeness of analytic tensor powers ⋮ A fast flatness testing criterion in characteristic zero ⋮ On topological classification of complex mappings

Cites Work

• Modules over unramified regular local rings
• Relations among analytic functions. II
• On Gabrielov's regularity condition for analytic mappings
• Complex analytic geometry
• Flatness and fibred powers
• Flatness testing and torsionfree morphisms
• 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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