Syzygies of projective bundles

Euisung Park

doi:10.1016/j.jpaa.2006.12.010

Syzygies of projective bundles

Euisung Park^*

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

In this paper we study defining equations and syzygies among them of projective bundles. We prove that for a given p ≥ 0, if a vector bundle on a smooth complex projective variety is sufficiently ample, then the embedding given by the tautological line bundle satisfies property N_p.

Original language	English
Pages (from-to)	15-23
Number of pages	9
Journal	Journal of Pure and Applied Algebra
Volume	211
Issue number	1
DOIs	https://doi.org/10.1016/j.jpaa.2006.12.010
Publication status	Published - 2007 Oct

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2006.12.010

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title = "Syzygies of projective bundles",

abstract = "In this paper we study defining equations and syzygies among them of projective bundles. We prove that for a given p ≥ 0, if a vector bundle on a smooth complex projective variety is sufficiently ample, then the embedding given by the tautological line bundle satisfies property Np.",

author = "Euisung Park",

year = "2007",

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AB - In this paper we study defining equations and syzygies among them of projective bundles. We prove that for a given p ≥ 0, if a vector bundle on a smooth complex projective variety is sufficiently ample, then the embedding given by the tautological line bundle satisfies property Np.

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DO - 10.1016/j.jpaa.2006.12.010

M3 - Article

AN - SCOPUS:34249105817

SN - 0022-4049

VL - 211

SP - 15

EP - 23

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 1

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Syzygies of projective bundles

Abstract

ASJC Scopus subject areas

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