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- W1602005497 abstract "Kwiecinski has proved a geometric criterion for flatness: A morphism f: X → Y of germs of analytic spaces is not flat if and only if its i-fold fibre power f {i} : X {i} → Y has a vertical component, for some i. We show how to bound i using Hironaka's local flattener: If f is not flat, then f {d} has a vertical component, where d is the minimal number of generators of the ideal in O Y of the flattener of X." @default.
- W1602005497 created "2016-06-24" @default.
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- W1602005497 date "2002-03-25" @default.
- W1602005497 modified "2023-09-26" @default.
- W1602005497 title "Natural bound in Kwiecinski’s criterion for flatness" @default.
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- W1602005497 doi "https://doi.org/10.1090/s0002-9939-02-06422-5" @default.
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