On fibrations whose geometric fibers are nonreduced
Algebraic Geometry
2009-02-26 v1
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 one curves.
Keywords
Cite
@article{arxiv.0902.4393,
title = {On fibrations whose geometric fibers are nonreduced},
author = {Stefan Schroeer},
journal= {arXiv preprint arXiv:0902.4393},
year = {2009}
}
Comments
17 pages