Generic fiber of power series ring extensions

Details Generic fiber of power series ring extensions Generic fiber of power series ring extensions

2007-10-04

arxiv.org/abs/0710.1019v2

Mathematics

Commutative Algebra

Scientific paper

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.

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