Jumping coefficients of multiplier ideals

Lawrence Ein; Robert Lazarsfeld; Karen E. Smith; Dror Varolin

doi:10.1215/S0012-7094-04-12333-4

Jumping coefficients of multiplier ideals

Lawrence Ein
, Robert Lazarsfeld
, Karen E. Smith
, Dror Varolin

Mathematics

Stony Brook University

University of Illinois at Chicago
University of Michigan, Ann Arbor

Research output: Contribution to journal › Article › peer-review

91 Scopus citations

Abstract

We study some local invariants attached via multiplier ideals to an effective divisor or ideal sheaf on a smooth complex variety. These jumping coefficients consist of an increasing sequence of positive rational numbers beginning with the log-canonical threshold of the divisor or ideal in question. They encode interesting geometric and algebraic information, and we see that they arise naturally in several different contexts.

Original language	English
Pages (from-to)	469-506
Number of pages	38
Journal	Duke Mathematical Journal
Volume	123
Issue number	3
DOIs	https://doi.org/10.1215/S0012-7094-04-12333-4
State	Published - Jun 15 2004

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title = "Jumping coefficients of multiplier ideals",

abstract = "We study some local invariants attached via multiplier ideals to an effective divisor or ideal sheaf on a smooth complex variety. These jumping coefficients consist of an increasing sequence of positive rational numbers beginning with the log-canonical threshold of the divisor or ideal in question. They encode interesting geometric and algebraic information, and we see that they arise naturally in several different contexts.",

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T1 - Jumping coefficients of multiplier ideals

AU - Ein, Lawrence

AU - Lazarsfeld, Robert

AU - Smith, Karen E.

AU - Varolin, Dror

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N2 - We study some local invariants attached via multiplier ideals to an effective divisor or ideal sheaf on a smooth complex variety. These jumping coefficients consist of an increasing sequence of positive rational numbers beginning with the log-canonical threshold of the divisor or ideal in question. They encode interesting geometric and algebraic information, and we see that they arise naturally in several different contexts.

AB - We study some local invariants attached via multiplier ideals to an effective divisor or ideal sheaf on a smooth complex variety. These jumping coefficients consist of an increasing sequence of positive rational numbers beginning with the log-canonical threshold of the divisor or ideal in question. They encode interesting geometric and algebraic information, and we see that they arise naturally in several different contexts.

UR - https://www.scopus.com/pages/publications/3142781665

U2 - 10.1215/S0012-7094-04-12333-4

DO - 10.1215/S0012-7094-04-12333-4

M3 - Article

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VL - 123

SP - 469

EP - 506

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 3

ER -

Jumping coefficients of multiplier ideals

Abstract

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