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math.AC2012★ 1 cited
A fast flatness testing algorithm in characteristic zero
Janusz Adamus, Hadi Seyedinejad
We prove a fast computable criterion that expresses non-flatness in terms of torsion: Let R be a regular algebra of finite type over a field K of characteristic zero and let F be a…
math.AC2011★ 1 cited
Flatness testing over singular bases
Janusz Adamus, Hadi Seyedinejad
We show that non-flatness of a morphism f of complex-analytic spaces with a locally irreducible target Y of dimension n manifests in the existence of vertical components in the n-f…