Authors
Citation
M. Kwiecinski, FLATNESS AND FIBERED POWERS, Manuscripta mathematica, 97(2), 1998, pp. 163-173
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
00252611
Volume
97
Issue
2
Year of publication
1998
Pages
163 - 173
Database
ISI
SICI code
0025-2611(1998)97:2<163:>2.0.ZU;2-O
Abstract
We prove that a complex map is flat if and only if none of its fibred
powers has vertical (isolated or embedded) components. A commutative a
lgebraic analogue of this statement follows: flatness is equivalent to
torsion freeness of all tensor powers.