English

A formula for the core of an ideal

Commutative Algebra 2007-05-23 v1 Algebraic Geometry

Abstract

The core of an ideal is the intersection of all its reductions. For large classes of ideals I we explicitly describe the core as a colon ideal of a power of a single reduction and a power of I.

Keywords

Cite

@article{arxiv.math/0410340,
  title  = {A formula for the core of an ideal},
  author = {Claudia Polini and Bernd Ulrich},
  journal= {arXiv preprint arXiv:math/0410340},
  year   = {2007}
}

Comments

to appear in Math. Ann

R2 v1 2026-07-22T17:11:11.783Z