Local positivity, multiplier ideals, and syzygies of abelian varieties

Robert Lazarsfeld; Giuseppe Pareschi; Mihnea Popa

doi:10.2140/ant.2011.5.185

Local positivity, multiplier ideals, and syzygies of abelian varieties

Robert Lazarsfeld
, Giuseppe Pareschi
, Mihnea Popa

Mathematics

University of Rome Tor Vergata
University of Illinois at Chicago

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

20 Scopus citations

Abstract

We use the language of multiplier ideals in order to relate the syzygies of an abelian variety in a suitable embedding with the local positivity of the line bundle inducing that embedding. This extends to higher syzygies a result of Hwang and To on projective normality.

Original language	English
Pages (from-to)	185-196
Number of pages	12
Journal	Algebra and Number Theory
Volume	5
Issue number	2
DOIs	https://doi.org/10.2140/ant.2011.5.185
State	Published - 2011

Keywords

Abelian varieties
Local positivity
Multiplier ideals
Syzygies

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10.2140/ant.2011.5.185

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title = "Local positivity, multiplier ideals, and syzygies of abelian varieties",

abstract = "We use the language of multiplier ideals in order to relate the syzygies of an abelian variety in a suitable embedding with the local positivity of the line bundle inducing that embedding. This extends to higher syzygies a result of Hwang and To on projective normality.",

keywords = "Abelian varieties, Local positivity, Multiplier ideals, Syzygies",

author = "Robert Lazarsfeld and Giuseppe Pareschi and Mihnea Popa",

year = "2011",

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AU - Lazarsfeld, Robert

AU - Pareschi, Giuseppe

AU - Popa, Mihnea

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AB - We use the language of multiplier ideals in order to relate the syzygies of an abelian variety in a suitable embedding with the local positivity of the line bundle inducing that embedding. This extends to higher syzygies a result of Hwang and To on projective normality.

KW - Abelian varieties

KW - Local positivity

KW - Multiplier ideals

KW - Syzygies

UR - https://www.scopus.com/pages/publications/80052654359

U2 - 10.2140/ant.2011.5.185

DO - 10.2140/ant.2011.5.185

M3 - Article

AN - SCOPUS:80052654359

SN - 1937-0652

VL - 5

SP - 185

EP - 196

JO - Algebra and Number Theory

JF - Algebra and Number Theory

IS - 2

ER -

Local positivity, multiplier ideals, and syzygies of abelian varieties

Abstract

Keywords

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