English

Multiplier ideals of monomial space curves

Algebraic Geometry 2011-02-24 v4 Commutative Algebra

Abstract

The goal of this paper is to produce a formula for the multiplier ideals of monomial space curves in the spirit of Howald's formula for the multiplier ideals of monomial ideals. This is achieved by constructing a toric blowup of affine space in such a way that a log resolution of the monomial curve may be constructed from this toric variety in a well controlled manner.

Keywords

Cite

@article{arxiv.1006.1915,
  title  = {Multiplier ideals of monomial space curves},
  author = {Howard M Thompson},
  journal= {arXiv preprint arXiv:1006.1915},
  year   = {2011}
}

Comments

v2 corrected several typos & added 2 references v3 gives a slightly more explicit proof of Theorem 2.4 v4 attempts to follow suggestions of referee