Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493421 | Journal of Algebra | 2005 | 13 Pages |
Abstract
Let fξ:XξâYη be a morphism of germs of complex analytic spaces, where Xξ is reduced of pure dimension and Yη is smooth of dimension n. We give several sufficient conditions for the following characterization of flatness to hold: fξ is flat if and only if the nth analytic tensor power OX,ξâËOY,ηâ¯âËOY,ηOX,ξ︸ntimes is a torsion-free OY,η-module.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Janusz Adamus,