A vanishing theorem for weight-one syzygies

Lawrence Ein; Robert Lazarsfeld; David Yang

doi:10.2140/ant.2016.10.1965

A vanishing theorem for weight-one syzygies

Lawrence Ein
, Robert Lazarsfeld
, David Yang

Mathematics

University of Illinois at Chicago
Massachusetts Institute of Technology

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

7 Scopus citations

Abstract

We give a criterion for the vanishing of the weight-one syzygies associated to a line bundle B in a sufficiently positive embedding of a smooth complex projective variety of arbitrary dimension.

Original language	English
Pages (from-to)	1965-1981
Number of pages	17
Journal	Algebra and Number Theory
Volume	10
Issue number	9
DOIs	https://doi.org/10.2140/ant.2016.10.1965
State	Published - 2016

Keywords

Syzygies

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10.2140/ant.2016.10.1965

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title = "A vanishing theorem for weight-one syzygies",

abstract = "We give a criterion for the vanishing of the weight-one syzygies associated to a line bundle B in a sufficiently positive embedding of a smooth complex projective variety of arbitrary dimension.",

keywords = "Syzygies",

author = "Lawrence Ein and Robert Lazarsfeld and David Yang",

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year = "2016",

doi = "10.2140/ant.2016.10.1965",

language = "English",

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pages = "1965--1981",

journal = "Algebra and Number Theory",

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AU - Ein, Lawrence

AU - Lazarsfeld, Robert

AU - Yang, David

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N2 - We give a criterion for the vanishing of the weight-one syzygies associated to a line bundle B in a sufficiently positive embedding of a smooth complex projective variety of arbitrary dimension.

AB - We give a criterion for the vanishing of the weight-one syzygies associated to a line bundle B in a sufficiently positive embedding of a smooth complex projective variety of arbitrary dimension.

KW - Syzygies

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U2 - 10.2140/ant.2016.10.1965

DO - 10.2140/ant.2016.10.1965

M3 - Article

AN - SCOPUS:85002410352

SN - 1937-0652

VL - 10

SP - 1965

EP - 1981

JO - Algebra and Number Theory

JF - Algebra and Number Theory

IS - 9

ER -

A vanishing theorem for weight-one syzygies

Abstract

Keywords

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