English

Generalized test ideals and symbolic powers

Commutative Algebra 2007-12-01 v2 Algebraic Geometry

Abstract

Hochster and Huneke proved in \cite{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 pp analogue of multiplier ideals, to give a slight generalization of Hochster-Huneke's results.

Cite

@article{arxiv.math/0701929,
  title  = {Generalized test ideals and symbolic powers},
  author = {Shunsuke Takagi and Ken-ichi Yoshida},
  journal= {arXiv preprint arXiv:math/0701929},
  year   = {2007}
}

Comments

13 pages; v.2: minor changes, to appear in Michigan Math. J