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.
| 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 | |
| Publication status | Published - 2007 Oct 1 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Algebra and Number Theory
Cite this
Syzygies of projective bundles. / Park, Euisung.
In: Journal of Pure and Applied Algebra, Vol. 211, No. 1, 01.10.2007, p. 15-23.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Syzygies of projective bundles
AU - Park, Euisung
PY - 2007/10/1
Y1 - 2007/10/1
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=34249105817&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34249105817&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2006.12.010
DO - 10.1016/j.jpaa.2006.12.010
M3 - Article
VL - 211
SP - 15
EP - 23
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
IS - 1
ER -