A short note on the multiplier ideals of monomial space curves

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.Comment: This version adds Corollary 10 and fixes several typo

Toric singularities revisited

In [Kat94b], Kato defined his notion of a log regular scheme and studied the local behavior of such schemes. A toric variety equipped with its canonical logarithmic structure is log regular. And, these schemes allow one to generalize toric geometry to a theory that does not require a base field. This paper will extend this theory by removing normality requirements.Comment: new longer introduction, other minor improvements, 35 page

Irrelevant Exceptional Divisors for Curves on a Smooth Surface

Given a singular curve on a smooth surface, we determine which exceptional divisors on the minimal resolution of that curve contribute toward its jumping numbers.Comment: Added reference to Favre & Jonsson and a slight extension of the comment immediately following Definition 2.

The Human Face of EOD

Being a specialist insurance broker to explosive-ordnance-disposal organisations around the world has provided Howard Thompson with the opportunity to be on the sidelines of the humanitarian-demining community. But during a 10-day visit to Cambodia, he was able to experience first-hand the significance of humanitarian demining and clearance. He writes about this experience here

Atmospheric Effects of Aviation: First Report of the Subsonic Assessment Project

This document is the first report from the Office of Aeronautics Advanced Subsonic Technology (AST) Program's Subsonic Assessment (SASS) Project. This effort, initiated in late 1993, has as its objective the assessment of the atmospheric effects of the current and predicted future aviation fleet. The two areas of impact are ozone (stratospheric and tropospheric) and radiative forcing. These are driven, respectively, by possible perturbations from aircraft emissions of NOX and soot and/or sulfur-containing particles. The report presents the major questions to which project assessments will be directed (Introduction) and the status of six programmatic elements: Emissions Scenarios, Exhaust Characterization, Near-Field Interactions, Kinetics and Laboratory Studies, Global Modeling, and Atmospheric Observations (field studies)