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VOL. 70 | 2016 Multiplier ideals via Mather discrepancy
Lawrence Ein, Shihoko Ishii, Mircea Mustaţă

Editor(s) János Kollár, Osamu Fujino, Shigeru Mukai, Noboru Nakayama

Abstract

We define a version of multiplier ideals, the Mather multiplier ideals, on a variety with arbitrary singularities, using the Mather discrepancy and the Jacobian ideal. In this context we prove a relative vanishing theorem, thus obtaining restriction, subadditivity and summation theorems. The Mather multiplier ideals also satisfy a Skoda type result. As an application, we obtain a Briançon-Skoda type formula for the integral closures of ideals on a variety with arbitrary singularities.

Information

Published: 1 January 2016
First available in Project Euclid: 4 October 2018

zbMATH: 1369.14028
MathSciNet: MR3617776

Digital Object Identifier: 10.2969/aspm/07010009

Rights: Copyright © 2016 Mathematical Society of Japan

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