Generalized test ideals and symbolic powers
Shunsuke Takagi, Ken-ichi Yoshida
Abstract
Hochster and Huneke proved in HH5 fine behaviors of symbolic powers of ideals in regular rings, using the theory of tight closure. In this paper, we use generalized test ideals, which are a characteristic p analogue of multiplier ideals, to give a slight generalization of Hochster-Huneke's results.
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