A short note on the multiplier ideals of monomial space curves
Algebraic Geometry
2015-11-12 v4 Commutative Algebra
Abstract
Thompson (2014) exhibits a formula for the multiplier ideal with multiplier lambda of a monomial curve C with ideal I as an intersection of a term coming from the I-adic valuation, the multiplier ideal of the term ideal of I, and terms coming from certain specified auxiliary valuations. This short note shows it suffices to consider only one auxiliary valuation. This improvement is achieved through a more intrinsic approach, reduction to the toric case.
Keywords
Cite
@article{arxiv.1406.1788,
title = {A short note on the multiplier ideals of monomial space curves},
author = {Howard M Thompson},
journal= {arXiv preprint arXiv:1406.1788},
year = {2015}
}
Comments
This version adds Corollary 10 and fixes several typos