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On fibrations whose geometric fibers are nonreduced

Published online by Cambridge University Press:  11 January 2016

Stefan Schröer
Stefan Schröer*
Affiliation:
Mathematisches Institut, Heinrich-Heine-Universität, 40225 Düsseldorf, Germany, schroeer@math.uni-duesseldorf.de
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Abstract

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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 1 curves.

Keywords

14A1514D0614J70
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 200 , December 2010 , pp. 35 - 57
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2010

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