Generic fiber of power series ring extensions
Commutative Algebra
2007-10-09 v2 Algebraic Geometry
Abstract
Let D be a Noetherian domain containing a field, d a nonzero nonunit of D and z an indeterminate over D. We prove that the generic fiber of D[1/d][[z]] over D[[z]] has dimension greater than the dimension of D/dD.
Cite
@article{arxiv.0710.1019,
title = {Generic fiber of power series ring extensions},
author = {Tiberiu Dumitrescu},
journal= {arXiv preprint arXiv:0710.1019},
year = {2007}
}