We prove a result relating the Jacobian ideal and the generalized test ideal associated to a principal ideal in R = k[x1,..., xn] with [k: kp] < ∞ or in R = k[[x1,..., xn]] 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.
|Original language||English (US)|
|Number of pages||5|
|Journal||Proceedings of the American Mathematical Society|
|State||Published - Dec 2011|
- F-jumping coefficient
- Jacobian ideal
- Test ideal