Abstract
We give a bound on embedding dimensions of geometric generic fibers in terms of the dimension of the base, for fibrations in positive characteristic. This generalizes the well-known fact that for fibrations over curves, the geometric generic fiber is reduced. We illustrate our results with Fermat hypersurfaces and genus curves.
Citation
Stefan Schröer. "On Fibrations whose geometric fibers are nonreduced." Nagoya Math. J. 200 35 - 57, December 2010. https://doi.org/10.1215/00277630-2010-011
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