An upper bound on the number of F-jumping coefficients of a principal ideal

Details An upper bound on the number of F-jumping coefficients of a principal ideal An upper bound on the number of F-jumping coefficients of a principal ideal

2010-10-10

arxiv.org/abs/1010.1890v1

Mathematics

Commutative Algebra

Scientific paper

We prove a result relating the Jacobian ideal and the generalized test ideal
associated to a principal ideal in $R=k[x_1,...,x_n]$ with $[k:k^p]<\infty$ or
in $R=k[[x_1,...,x_n]]$ with an arbitrary field $k$ of characteristic $p>0$. As
a consequence of this result, we establish an upper bound on the number of
$F$-jumping coefficients of a principal ideal with an isolated singularity.

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