Detecting flatness over smooth bases

DOI10.1090/S1056-3911-2012-00579-7zbMath1267.13021arXiv1002.3652OpenAlexW2963484736MaRDI QIDQ4904370

Luchezar L. Avramov, Srikanth B. Iyengar

Publication date: 29 January 2013

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3652

zbMATH Keywords

flatnessessentially of finite typeessentially smooth\(d\)-fold fiber product

Mathematics Subject Classification ID

Injective and flat modules and ideals in commutative rings (13C11) Schemes and morphisms (14A15) Torsion modules and ideals in commutative rings (13C12)

Related Items (1)

A fast flatness testing criterion in characteristic zero

Cites Work

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• Codimension and multiplicity
• Modules over unramified regular local rings
• Flatness testing and torsionfree morphisms
• Flatness and fibred powers over smooth varieties
• On the vanishing of Tor in regular local rings
• On Finite Weak and Injective Dimension
• Tensor products of modules, rigidity and local cohomology.
• Geometric Auslander criterion for flatness
• Algèbre commutative

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